 4.4.1.S1: In Exercises S1S2, express the percentages in decimal form. 6%
 4.4.1.1: Are the functions in Exercises 19 exponential? If so, write the fun...
 4.4.4.1: What is the effective annual yield if a deposit of $1000 grows to $...
 4.4.5.S1: In Exercises S1S4, using a calculator, approximate to 3 decimal pla...
 4.4.5.1: Without a calculator, match the functions = 2, = 3, and = with the ...
 4.4.2.S1: In Exercises S1S4, write each of the following with single positive...
 4.4.2.1: The following formulas give the populations (in 1000s) of four diff...
 4.1: For Exercises 133, evaluate without a calculator. (5)2
 4.4.3.1: In Exercises 14, could the function graphed be exponential? If so, ...
 4.4.1.S2: In Exercises S1S2, express the percentages in decimal form. . 0.6%
 4.4.1.2: Are the functions in Exercises 19 exponential? If so, write the fun...
 4.4.4.2: Suppose $1000 is invested in an account yielding interest at a nomi...
 4.4.5.S2: In Exercises S1S4, using a calculator, approximate to 3 decimal pla...
 4.4.5.2: Without a calculator, match the functions = , = 2, and = 3 to the g...
 4.4.2.S2: In Exercises S1S4, write each of the following with single positive...
 4.4.2.2: A population has size 5000 at time = 0, with in years. (a) If the p...
 4.2: For Exercises 133, evaluate without a calculator. 112
 4.4.3.2: In Exercises 14, could the function graphed be exponential? If so, ...
 4.4.1.S3: In Exercises S3S4, express the decimals as a percent. 0.0012
 4.4.1.3: Are the functions in Exercises 19 exponential? If so, write the fun...
 4.4.4.3: An account pays interest at a nominal rate of 8% per year. Find the...
 4.4.5.S3: In Exercises S1S4, using a calculator, approximate to 3 decimal pla...
 4.4.5.3: Without a calculator, match each formula to one of the graphs (I)(I...
 4.4.2.S3: In Exercises S1S4, write each of the following with single positive...
 4.4.2.3: Write a formula for the price of a gallon of gas in days if the pri...
 4.3: For Exercises 133, evaluate without a calculator. 104
 4.4.3.3: In Exercises 14, could the function graphed be exponential? If so, ...
 4.4.1.S4: In Exercises S3S4, express the decimals as a percent. 1.23
 4.4.1.4: Are the functions in Exercises 19 exponential? If so, write the fun...
 4.4.4.4: An investment grows by 5% per year for 20 years. By what percent do...
 4.4.5.S4: In Exercises S1S4, using a calculator, approximate to 3 decimal pla...
 4.4.5.4: Without a calculator, match the functions (a)(d) with the graphs (I...
 4.4.2.S4: In Exercises S1S4, write each of the following with single positive...
 4.4.2.4: In an environment with unlimited resources and no predators, a popu...
 4.4: For Exercises 133, evaluate without a calculator. (1)13
 4.4.3.4: In Exercises 14, could the function graphed be exponential? If so, ...
 4.4.1.5: Are the functions in Exercises 19 exponential? If so, write the fun...
 4.4.4.5: An investment decreases by 50% over an 8year period. At what effec...
 4.4.5.S5: In Exercises S5S8, evaluate the functions for = 0 and = 4. ()=2.30.3
 4.4.5.5: Without a calculator, match the functions (a)(d) with the graphs (I...
 4.4.2.S5: In Exercises S5S6, evaluate the functions for = 0 and = 3. ()=5.6(1...
 4.4.2.5: (a) Make a table of values for = () = 1000(1.2) , for = 0, 1, 2, 3,...
 4.5: For Exercises 133, evaluate without a calculator. 5352
 4.4.3.5: (a) Make a table of values for ()=2 for = 3,2, 1, 0, 1, 2, 3. (b) G...
 4.4.1.6: Are the functions in Exercises 19 exponential? If so, write the fun...
 4.4.4.6: A bank pays interest at the nominal rate of 1.3% per year. What is ...
 4.4.5.S6: In Exercises S5S8, evaluate the functions for = 0 and = 4. ()=4.20.12
 4.4.5.6: Without a calculator, match the functions = , = , and = to the grap...
 4.4.2.S6: In Exercises S5S6, evaluate the functions for = 0 and = 3. () = 12,...
 4.4.2.6: The tables in Exercises 69 contain values from an exponential or a ...
 4.6: For Exercises 133, evaluate without a calculator. 108105
 4.4.3.6: (a) Make a table of values for () = (1 2 ) for = 3, 2, 1, 0, 1, 2, ...
 4.4.1.7: Are the functions in Exercises 19 exponential? If so, write the fun...
 4.4.4.7: In Exercises 710, what is the balance after 1 year if an account co...
 4.4.5.S7: In Exercises S5S8, evaluate the functions for = 0 and = 4. . () = 1...
 4.4.5.7: 7Without a calculator, match the functions (a)(d) with the graphs (...
 4.4.2.S7: In Exercises S7S10, solve for 43 = 20
 4.4.2.7: The tables in Exercises 69 contain values from an exponential or a ...
 4.7: For Exercises 133, evaluate without a calculator. 6464
 4.4.3.7: The graphs of () = (1.1), () = (1.2), and () = (1.25) are in Figure...
 4.4.1.8: Are the functions in Exercises 19 exponential? If so, write the fun...
 4.4.4.8: In Exercises 710, what is the balance after 1 year if an account co...
 4.4.5.S8: In Exercises S5S8, evaluate the functions for = 0 and = 4. () = 289...
 4.4.5.8: In Exercises 813, the expression shows how the quantity is changing...
 4.4.2.S8: In Exercises S7S10, solve for 535 = 125
 4.4.2.8: The tables in Exercises 69 contain values from an exponential or a ...
 4.8: For Exercises 133, evaluate without a calculator. 4
 4.4.3.8: The graphs of () = (0.7), () = (0.8), and () = (0.85) are in Figure...
 4.4.1.9: Are the functions in Exercises 19 exponential? If so, write the fun...
 4.4.4.9: In Exercises 710, what is the balance after 1 year if an account co...
 4.4.5.S9: In Exercises S9S15, write the function in the form () = . . () = (3...
 4.4.5.9: In Exercises 813, the expression shows how the quantity is changing...
 4.4.2.S9: In Exercises S7S10, solve for 4833 = 7
 4.4.2.9: The tables in Exercises 69 contain values from an exponential or a ...
 4.9: For Exercises 133, evaluate without a calculator. 42
 4.4.3.9: In Exercises 914, will the graphs of the two functions cross in the...
 4.4.1.10: In Exercises 1013, give the starting value , the growth factor , an...
 4.4.4.10: In Exercises 710, what is the balance after 1 year if an account co...
 4.4.5.S10: In Exercises S9S15, write the function in the form () = . ()=57 4 3
 4.4.5.10: In Exercises 813, the expression shows how the quantity is changing...
 4.4.2.S10: In Exercises S7S10, solve for 43 = 5
 4.4.2.10: Find () = if (10) = 50 and (30) = 25.
 4.10: For Exercises 133, evaluate without a calculator. 44
 4.4.3.10: In Exercises 914, will the graphs of the two functions cross in the...
 4.4.1.11: In Exercises 1013, give the starting value , the growth factor , an...
 4.4.4.11: In Exercises 1114, what are the nominal and effective annual rates ...
 4.4.5.S11: In Exercises S9S15, write the function in the form () = . . () = 73
 4.4.5.11: In Exercises 813, the expression shows how the quantity is changing...
 4.4.2.11: Find a formula for (), an exponential function such that (8) = 200 ...
 4.11: For Exercises 133, evaluate without a calculator. (4)2
 4.4.3.11: In Exercises 914, will the graphs of the two functions cross in the...
 4.4.1.12: In Exercises 1013, give the starting value , the growth factor , an...
 4.4.4.12: In Exercises 1114, what are the nominal and effective annual rates ...
 4.4.5.S12: In Exercises S9S15, write the function in the form () = . . () = 3+6
 4.4.5.12: In Exercises 813, the expression shows how the quantity is changing...
 4.4.2.12: Suppose that () is exponential and that (3) = 54 and (2) = 2 9 . Fi...
 4.12: For Exercises 133, evaluate without a calculator. 172
 4.4.3.12: In Exercises 914, will the graphs of the two functions cross in the...
 4.4.1.13: In Exercises 1013, give the starting value , the growth factor , an...
 4.4.4.13: In Exercises 1114, what are the nominal and effective annual rates ...
 4.4.5.S13: In Exercises S9S15, write the function in the form () = . () = 70.23
 4.4.5.13: In Exercises 813, the expression shows how the quantity is changing...
 4.4.2.13: Find a formula for (), an exponential function such that (2) = 127 ...
 4.13: For Exercises 133, evaluate without a calculator. 2723
 4.4.3.13: In Exercises 914, will the graphs of the two functions cross in the...
 4.4.1.14: What is the growth factor in Exercises 1417? Assume time is measure...
 4.4.4.14: In Exercises 1114, what are the nominal and effective annual rates ...
 4.4.5.S14: In Exercises S9S15, write the function in the form () = . () = (235)4
 4.4.5.14: Without a calculator, arrange the following quantities in ascending...
 4.4.2.14: Find the equation of an exponential curve through the points (1, 2)...
 4.14: For Exercises 133, evaluate without a calculator. (1)445
 4.4.3.14: In Exercises 914, will the graphs of the two functions cross in the...
 4.4.1.15: What is the growth factor in Exercises 1417? Assume time is measure...
 4.4.4.15: An investment grows by 30% over a 5year period. What is its effect...
 4.4.5.S15: In Exercises S9S15, write the function in the form () = . () =(0.4)...
 4.4.5.15: In 1517, an initial quantity 0 and a growth rate are given. Give a ...
 4.4.2.15: For Exercises 1520, find a formula for the exponential function.
 4.15: For Exercises 133, evaluate without a calculator. 112
 4.4.3.15: The volume of biodegradable material in a compost pile is shown in ...
 4.4.1.16: What is the growth factor in Exercises 1417? Assume time is measure...
 4.4.4.16: An investment decreases by 60% over a 12year period. At what effec...
 4.4.5.16: In 1517, an initial quantity 0 and a growth rate are given. Give a ...
 4.4.2.16: For Exercises 1520, find a formula for the exponential function. 50...
 4.16: For Exercises 133, evaluate without a calculator. (50)3
 4.4.3.16: Let ()=4, ()=4 + 2, and ()=4 3. What is the relationship between th...
 4.4.1.17: What is the growth factor in Exercises 1417? Assume time is measure...
 4.4.4.17: An investment grows by 3% per year for 10 years. By what percent do...
 4.4.5.17: In 1517, an initial quantity 0 and a growth rate are given. Give a ...
 4.4.2.17: For Exercises 1520, find a formula for the exponential function. (0...
 4.17: For Exercises 133, evaluate without a calculator. 2.1(103)
 4.4.3.17: Let () = (1 3 ) , () = (1 3 )+4 , and () = (1 3 )2 . How do the gra...
 4.4.3.18: Solve = 46(1.1) graphically for if = 91.
 4.4.1.18: Without a calculator, match each of the formulas to one of the grap...
 4.4.4.18: A sum of $850 is invested for 10 years and the interest is compound...
 4.4.5.18: The following formulas each describe the size of an animal populati...
 4.4.2.18: For Exercises 1520, find a formula for the exponential function. (2...
 4.18: For Exercises 133, evaluate without a calculator. 1612
 4.4.3.19: Solve = 22(0.87) graphically for if = 10.
 4.4.1.19: The populations, , of six towns with time in years are given by (i)...
 4.4.4.19: If you need $25,000 six years from now, what is the minimum amount ...
 4.4.5.19: A population of 3.2 million grows at a constant percentage rate. (a...
 4.4.2.19: For Exercises 1520, find a formula for the exponential function. (2...
 4.19: For Exercises 133, evaluate without a calculator. 1614
 4.4.3.20: Solve 4 = 17(2.3) graphically for if = 12.
 4.4.1.20: The value, , of a $100,000 investment that earns 3% annual interest...
 4.4.4.20: If the balance, , at time in years, of a bank account that compound...
 4.4.5.20: A town starts with 10,000 residents and grows at a continuous rate ...
 4.4.2.20: For Exercises 1520, find a formula for the exponential function. (4...
 4.20: For Exercises 133, evaluate without a calculator. 1634
 4.4.3.21: Solve 7 = (0.6) graphically for if = 2.
 4.4.1.21: An investment decreases by 5% per year for 4 years. By what total p...
 4.4.4.21: Suppose $3000 was invested into one of five accounts and is time in...
 4.4.5.21: A population is 25,000 in year = 0 and grows at a continuous rate o...
 4.4.2.21: In Exercises 2122, find an exponential function for the graph, or e...
 4.21: For Exercises 133, evaluate without a calculator. 1654
 4.4.3.22: On a graphing calculator, set a window of 4 4,1 6 and graph the fol...
 4.4.1.22: The value $ of an investment in year is given by = 2500(1.0325) . D...
 4.4.4.22: Without any calculation, describe in words what the following formu...
 4.4.5.22: A town has population 3000 people at year = 0. Write a formula for ...
 4.4.2.22: In Exercises 2122, find an exponential function for the graph, or e...
 4.22: For Exercises 133, evaluate without a calculator. 1652
 4.4.3.23: For which value(s) of and is = an increasing function? A decreasing...
 4.4.1.23: In 2328, the initial value (at year = 0) and the percent change per...
 4.4.5.23: A population grows from its initial level of 22,000 at a continuous...
 4.4.2.23: Find a formula for the exponential function whose graph contains th...
 4.23: For Exercises 133, evaluate without a calculator. 10052
 4.24: For Exercises 133, evaluate without a calculator. (4)2
 4.4.3.24: What are the domain and range of the exponential function = where a...
 4.4.1.24: In 2328, the initial value (at year = 0) and the percent change per...
 4.4.5.24: City A has a continuous growth rate of 15% per year, and City B has...
 4.4.2.24: Find a formula for the exponential function given (5) = 22 and (17)...
 4.25: For Exercises 133, evaluate without a calculator. (1)336
 4.4.3.25: For 2528, use Figure 4.24. Assume the equations for , , , and can a...
 4.4.1.25: In 2328, the initial value (at year = 0) and the percent change per...
 4.4.5.25: A bacteria colony that starts with 100 bacteria has a continuous gr...
 4.4.2.25: In Table 4.6, data for the functions , and are given, rounded to th...
 4.26: For Exercises 133, evaluate without a calculator. (0.04)12
 4.4.3.26: For 2528, use Figure 4.24. Assume the equations for , , , and can a...
 4.4.1.26: In 2328, the initial value (at year = 0) and the percent change per...
 4.4.5.26: Without any calculation, describe in words what the following formu...
 4.4.2.26: Table 4.7 gives values for two functions and , one linear and one e...
 4.27: For Exercises 133, evaluate without a calculator. . (8)23
 4.4.3.27: For 2528, use Figure 4.24. Assume the equations for , , , and can a...
 4.4.1.27: In 2328, the initial value (at year = 0) and the percent change per...
 4.4.5.27: An investment of $7000 increases in value at a continuous rate of 5...
 4.4.2.27: Which (if any) of the functions in the table could be linear? Which...
 4.28: For Exercises 133, evaluate without a calculator. 31
 4.4.3.28: For 2528, use Figure 4.24. Assume the equations for , , , and can a...
 4.4.1.28: In 2328, the initial value (at year = 0) and the percent change per...
 4.4.5.28: From time = 0, with in years, a $1200 deposit in a bank account gro...
 4.4.2.28: In 2830, could the function be approximately linear or approximatel...
 4.29: For Exercises 133, evaluate without a calculator. 332
 4.4.3.29: If > 1, what is the horizontal asymptote of = as ?
 4.4.1.29: In 2014, the population of a country was 70 million and growing at ...
 4.4.5.29: Calculate the amount of money in a bank account if $5000 is deposit...
 4.4.2.29: In 2830, could the function be approximately linear or approximatel...
 4.30: For Exercises 133, evaluate without a calculator. 251
 4.4.3.30: If 0 << 1, what is the horizontal asymptote of = as ?
 4.4.1.30: Every year, a lake becomes more polluted, and 2% fewer organisms ca...
 4.4.5.30: Find the effective annual yield and the continuous growth rate if =...
 4.4.2.30: In 2830, could the function be approximately linear or approximatel...
 4.31: For Exercises 133, evaluate without a calculator. 252
 4.4.3.31: In 3133, graph (), a function defined for all real numbers and sati...
 4.4.1.31: The mass, , of a sample of tritium (a radioactive isotope of hydrog...
 4.4.5.31: At time in years, the value, , of an investment of $1000 is given b...
 4.4.2.31: Graphs of a linear and an exponential function are shown in Figure ...
 4.32: For Exercises 133, evaluate without a calculator. (127)13
 4.4.3.32: In 3133, graph (), a function defined for all real numbers and sati...
 4.4.1.32: (a) The annual inflation rate in the US is 1.5% per year. If a movi...
 4.4.5.32: How long does it take an investment to double if it grows according...
 4.4.2.32: Find formulas for the exponential functions in Figure 4.11. 5 10 15...
 4.33: For Exercises 133, evaluate without a calculator. . (0.125)13
 4.4.3.33: In 3133, graph (), a function defined for all real numbers and sati...
 4.4.1.33: A typical cup of coffee contains about 100 mg of caffeine and every...
 4.4.5.33: The same amount of money is deposited into two different bank accou...
 4.4.2.33: Let ()=2+ and ()=2. Estimate the values of such that () < ().
 4.34: Simplify the expressions in Exercises 3455 and leave without radica...
 4.4.3.34: Let () = 5 + 3(0.9). As , what happens to ()? Does this function ha...
 4.4.1.34: Grinnell Glacier in Glacier National Park in the US covered about 1...
 4.4.5.34: Find the effective annual rate if $5000 is deposited at 2% annual i...
 4.4.2.34: If () = 12 + 20 and () = 1 2 3, for what values of is () < ()?
 4.35: Simplify the expressions in Exercises 3455 and leave without radica...
 4.4.3.35: Consider the exponential functions graphed in Figure 4.25 and the s...
 4.4.1.35: Polluted water is passed through a series of filters. Each filter r...
 4.4.5.35: An investment of $500 earns interest at a 6.75% continuous annual r...
 4.4.2.35: Figure 4.12 shows the balance, , in a bank account. (a) Find a poss...
 4.36: Simplify the expressions in Exercises 3455 and leave without radica...
 4.4.3.36: For 0, let () = 68 + 93(0.91) give the temperature of a cup of coff...
 4.4.1.36: In 2014 the number of people infected by a virus was 0. Due to a ne...
 4.4.5.36: A bank account pays 3% annual interest. As the number of compoundin...
 4.4.2.36: A 1987 treaty to protect the ozone layer produced dramatic declines...
 4.37: Simplify the expressions in Exercises 3455 and leave without radica...
 4.4.3.37: 3738 use Figure 4.26, where 0 is the coordinate of the point of in...
 4.4.1.37: A cold yam is placed in a hot oven. Newtons Law of Heating tells us...
 4.4.5.37: Which is better, an account paying 5.3% interest compounded continu...
 4.4.2.37: Figure 4.14 gives the voltage, (), across a circuit element at time...
 4.38: Simplify the expressions in Exercises 3455 and leave without radica...
 4.4.3.38: 3738 use Figure 4.26, where 0 is the coordinate of the point of in...
 4.4.1.38: On July 1, 2012, the population of California was 38.04 million4 an...
 4.4.5.38: Three different investments are given. (a) Find the balance of each...
 4.4.2.38: Suppose the city of Yonkers is offered two alternative fines by the...
 4.39: Simplify the expressions in Exercises 3455 and leave without radica...
 4.4.3.39: In several European countries, the population is declining. The pop...
 4.4.1.39: In 2007, world solar photovoltaic (PV) market installations totaled...
 4.4.5.39: Rank the following three bankdeposit options from best to worst. B...
 4.4.2.39: There were 191 million licensed drivers in the US in 2000 and 210 m...
 4.40: Simplify the expressions in Exercises 3455 and leave without radica...
 4.4.3.40: Let = () = 1000(1.04) be the population of a community in year . (a...
 4.4.1.40: The population of India was about 1.22 billion people in 2013 and w...
 4.4.5.40: Which is larger after 5 years: an investment of $1000 earning 5% pe...
 4.4.2.40: According to the College Board,14 the average cost of tuition (incl...
 4.41: Simplify the expressions in Exercises 3455 and leave without radica...
 4.4.3.41: You use a calculator to graph = 1.045. After correctly entering = 1...
 4.4.1.41: In 4144, calculate the rate of change of the functions over the int...
 4.4.5.41: One investment pays 5% interest compounded annually and another inv...
 4.4.2.41: Shorttrack 500m speed skating became a Winter Olympic event in 19...
 4.42: Simplify the expressions in Exercises 3455 and leave without radica...
 4.4.3.42: The number of cases of a disease, , is reduced by 10% each year. (a...
 4.4.1.42: In 4144, calculate the rate of change of the functions over the int...
 4.4.5.42: An investment of $1000 earns 8% interest compounded continuously. A...
 4.4.2.42: In year = 0 a lake is estimated to have about 3500 trout in it. Ten...
 4.43: Simplify the expressions in Exercises 3455 and leave without radica...
 4.4.3.43: The earths atmospheric pressure, , in terms of height above sea lev...
 4.4.1.43: In 4144, calculate the rate of change of the functions over the int...
 4.4.5.43: The GDP of Chile was 145.8 billion dollars in 2007 and was growing ...
 4.4.2.43: Cocoa production15 is shown in Table 4.8 for the world and the Ivor...
 4.44: Simplify the expressions in Exercises 3455 and leave without radica...
 4.4.3.44: The population of a colony of rabbits grows exponentially. The colo...
 4.4.1.44: In 4144, calculate the rate of change of the functions over the int...
 4.4.5.44: What can you say about the value of the constants , , , in Figure 4...
 4.4.2.44: The relative humidity of an air mass is the ratio of the quantity o...
 4.45: Simplify the expressions in Exercises 3455 and leave without radica...
 4.4.3.45: Let be a piecewisedefined function given by () = 2, < 0 0, = 0 1 1...
 4.4.1.45: Let ()=2. (a) Calculate the rate of change of () over the following...
 4.4.5.45: World poultry production was anticipated to rise to 106 million ton...
 4.4.2.45: The average gain in life expectancy at birth in the US has remained...
 4.46: Simplify the expressions in Exercises 3455 and leave without radica...
 4.4.3.46: Table 4.11 shows the concentration of theophylline, a common asthma...
 4.4.1.46: (a) How much did Amazons revenue grow between 2009 and 2010? Betwee...
 4.4.5.46: During the first week of an epidemic, the number of people in a met...
 4.4.2.46: The number of asthma sufferers in the world was about 84 million in...
 4.47: Simplify the expressions in Exercises 3455 and leave without radica...
 4.4.3.47: Table 4.12 shows global windenergygenerating capacity, (in megawa...
 4.4.1.47: (a) Assume Amazons annual revenue continues to rise at the same rat...
 4.4.5.47: A radioactive substance decays at a continuous rate of 14% per year...
 4.4.2.47: With an initial population 0, what is the value of a population at ...
 4.48: Simplify the expressions in Exercises 3455 and leave without radica...
 4.4.3.48: A hot brick is removed from a kiln and set on the floor to cool. Le...
 4.4.1.48: Write the exponential function = 5(0.5)3 in the forms given in 4849...
 4.4.5.48: The radioactive substance Cesium134 decays at a continuous rate of...
 4.4.2.48: In 2000, the population of a town was 20,000, and it grew by 4.14% ...
 4.49: Simplify the expressions in Exercises 3455 and leave without radica...
 4.4.3.49: Three scientists, working independently of each other, arrive at th...
 4.4.1.49: Write the exponential function = 5(0.5)3 in the forms given in 4849...
 4.4.5.49: The annual inflation rate, , for a fiveyear period is given in Tab...
 4.4.2.49: In 2003, the population of a town was 18,500 and it grew by 250 peo...
 4.50: Simplify the expressions in Exercises 3455 and leave without radica...
 4.4.3.50: If the exponential function has the property that lim = 0, what can...
 4.4.1.50: In the year 2012, a total of 17 million passengers took a cruise va...
 4.4.5.50: In the 1980s a northeastern bank experienced an unusual robbery. Ea...
 4.51: Simplify the expressions in Exercises 3455 and leave without radica...
 4.4.3.51: In 5152, graph (), a function defined for all real numbers and sati...
 4.4.1.51: Write the following exponential function in standard form, () = , g...
 4.4.5.51: This problem explores the value of (1 + 1) for integer values of as...
 4.52: Simplify the expressions in Exercises 3455 and leave without radica...
 4.4.3.52: In 5152, graph (), a function defined for all real numbers and sati...
 4.4.1.52: The amount (in milligrams) of a drug in the body hours after taking...
 4.4.5.52: With more terms giving a better approximation, it can be shown that...
 4.53: Simplify the expressions in Exercises 3455 and leave without radica...
 4.4.3.53: In 5354, assume that all important features are shown in the graph ...
 4.4.3.54: In 5354, assume that all important features are shown in the graph ...
 4.4.1.53: Every year, teams from 64 colleges qualify to compete in the NCAA w...
 4.4.5.53: In 5356, find the limits. lim 3
 4.54: Simplify the expressions in Exercises 3455 and leave without radica...
 4.4.1.54: The UN Food and Agriculture Organization estimates that 2.17% of th...
 4.4.5.54: In 5356, find the limits. lim 50.07
 4.55: Simplify the expressions in Exercises 3455 and leave without radica...
 4.4.1.55: The population of a small town increases by a growth factor of 1.13...
 4.4.5.55: In 5356, find the limits. lim(2 30.2)
 4.56: If possible, evaluate the quantities in Exercises 5664. Check your ...
 4.4.1.56: Forty percent of a radioactive substance decays in five years. By w...
 4.4.5.56: In 5356, find the limits. lim 20.1+6
 4.57: If possible, evaluate the quantities in Exercises 5664. Check your ...
 4.4.1.57: The Home section of many Sunday newspapers includes a mortgage tabl...
 4.4.5.57: If lim = , what can you say about the values of and ?
 4.58: If possible, evaluate the quantities in Exercises 5664. Check your ...
 4.4.1.58: You owe $2000 on a credit card. The card charges 1.5% monthly inter...
 4.59: If possible, evaluate the quantities in Exercises 5664. Check your ...
 4.4.1.59: A onepage letter is folded into thirds to go into an envelope. If ...
 4.60: If possible, evaluate the quantities in Exercises 5664. Check your ...
 4.4.1.60: Show that this is an exponential function by writing it in standard...
 4.61: If possible, evaluate the quantities in Exercises 5664. Check your ...
 4.4.1.61: Evaluate and simplify the ratio (+ 2)(). What does your answer tell...
 4.62: If possible, evaluate the quantities in Exercises 5664. Check your ...
 4.4.1.62: Figure 4.6 is the graph of ()=4 . Find the slope of the line segmen...
 4.63: If possible, evaluate the quantities in Exercises 5664. Check your ...
 4.4.1.63: The figure shows graphs of two functions: () = 0 20 () = 1 21 . Whi...
 4.64: If possible, evaluate the quantities in Exercises 5664. Check your ...
 4.4.1.64: Which is greater, 0 or 1?
 4.65: In Exercises 6566, solve for . 74 = 202
 4.4.1.65: Which is greater, 0 or 1?
 4.66: In Exercises 6566, solve for . 2( + 2)3 = 100
 4.4.1.66: What happens to 0 if 0 is increased while the other quantities rema...
 4.67: In Exercises 6768, use algebra to find the point of intersection. 1...
 4.4.1.67: What happens to 0 if 1 is decreased while the other quantities rema...
 4.68: In Exercises 6768, use algebra to find the point of intersection. 2...
 4.4.1.68: Let be the number of students in a school district, be the size of ...
 4.69: Are the statements in Exercises 6974 true or false? 25 = ()10
 4.70: Are the statements in Exercises 6974 true or false? 52 + 53 = 105
 4.71: Are the statements in Exercises 6974 true or false? (3)292 = 8122
 4.72: Are the statements in Exercises 6974 true or false? 36436 = 42
 4.73: Are the statements in Exercises 6974 true or false? 42 33 = 2(4 + 3)
 4.74: Are the statements in Exercises 6974 true or false? ( + )1 = 1 +1
 4.75: Solve the equations in Exercises 7576 in terms of and , given that ...
 4.76: Solve the equations in Exercises 7576 in terms of and , given that ...
 4.77: Let 2 = 5 and 2 = 7. Using exponent rules, solve the equations in E...
 4.78: Let 2 = 5 and 2 = 7. Using exponent rules, solve the equations in E...
 4.79: Let 2 = 5 and 2 = 7. Using exponent rules, solve the equations in E...
 4.80: Let 2 = 5 and 2 = 7. Using exponent rules, solve the equations in E...
 4.81: Let 2 = 5 and 2 = 7. Using exponent rules, solve the equations in E...
 4.82: Let 2 = 5 and 2 = 7. Using exponent rules, solve the equations in E...
 4.83: Find the limits in 7883. lim(57 + 1.5)
 4.84: In 8485, graph (), a function defined for all real numbers and sati...
 4.85: In 8485, graph (), a function defined for all real numbers and sati...
Solutions for Chapter 4: Functions Modeling Change: A Preparation for Calculus 5th Edition
Full solutions for Functions Modeling Change: A Preparation for Calculus  5th Edition
ISBN: 9781118583197
Solutions for Chapter 4
Get Full SolutionsThis textbook survival guide was created for the textbook: Functions Modeling Change: A Preparation for Calculus, edition: 5. Since 364 problems in chapter 4 have been answered, more than 20808 students have viewed full stepbystep solutions from this chapter. Chapter 4 includes 364 full stepbystep solutions. Functions Modeling Change: A Preparation for Calculus was written by and is associated to the ISBN: 9781118583197. This expansive textbook survival guide covers the following chapters and their solutions.

Binomial probability
In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n  k2!pk11  p) nk where p is the probability of the outcome occurring once

Division algorithm for polynomials
Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

Graph of an equation in x and y
The set of all points in the coordinate plane corresponding to the pairs x, y that are solutions of the equation.

Horizontal asymptote
The line is a horizontal asymptote of the graph of a function ƒ if lim x: q ƒ(x) = or lim x: q ƒ(x) = b

Implied domain
The domain of a function’s algebraic expression.

Limit
limx:aƒ1x2 = L means that ƒ(x) gets arbitrarily close to L as x gets arbitrarily close (but not equal) to a

Negative association
A relationship between two variables in which higher values of one variable are generally associated with lower values of the other variable.

Normal distribution
A distribution of data shaped like the normal curve.

Oddeven identity
For a basic trigonometric function f, an identity relating f(x) to f(x).

Permutations of n objects taken r at a time
There are nPr = n!1n  r2! such permutations

Polar distance formula
The distance between the points with polar coordinates (r1, ?1 ) and (r2, ?2 ) = 2r 12 + r 22  2r1r2 cos 1?1  ?22

Probability of an event in a finite sample space of equally likely outcomes
The number of outcomes in the event divided by the number of outcomes in the sample space.

Rational expression
An expression that can be written as a ratio of two polynomials.

Rectangular coordinate system
See Cartesian coordinate system.

Sine
The function y = sin x.

Slope
Ratio change in y/change in x

Triangular number
A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

Trigonometric form of a complex number
r(cos ? + i sin ?)

Vertex form for a quadratic function
ƒ(x) = a(x  h)2 + k

yzplane
The points (0, y, z) in Cartesian space.