 1.1.2.1: Classify each function as a power function, root function, polynomi...
 1.1.3.1: Suppose the graph of is given. Write equations for the graphs that ...
 1.1.4.1: Use a graphing calculator or computer to determine which of the giv...
 1.1.5.1: (a) Write an equation that defines the exponential function with ba...
 1.1.6.1: (a) What is a onetoone function? 13. f $t# (b) How can you tell f...
 1.1.1.1: The graph of a function is given. (a) State the value of . (b) Esti...
 1.1.2.2: Classify each function as a power function, root function, polynomi...
 1.1.3.2: Explain how each graph is obtained from the graph of .
 1.1.4.2: Use a graphing calculator or computer to determine which of the giv...
 1.1.5.2: a) How is the number defined? (b) What is an approximate value for ...
 1.1.6.2: (a) Suppose is a onetoone function with domain and range . How is...
 1.1.1.2: The graphs of and tare given. (a) State the values of and . (b) For...
 1.1.2.3: Match each equation with its graph. Explain your choices. (Dont use...
 1.1.3.3: The graph of is given. Match each equation with its graph and give ...
 1.1.4.3: Determine an appropriate viewing rectangle for the given function a...
 1.1.5.3: Graph the given functions on a common screen. How are these graphs ...
 1.1.6.3: function is given by a table of values, a graph, a formula, or a ve...
 1.1.1.3: Figure 1 was recorded by an instrument operated by the California D...
 1.1.2.4: Match each equation with its graph. Explain your choices. (Dont use...
 1.1.3.4: The graph of is given. Draw the graphs of the following functions.
 1.1.4.4: Determine an appropriate viewing rectangle for the given function a...
 1.1.5.4: Graph the given functions on a common screen. How are these graphs ...
 1.1.6.4: function is given by a table of values, a graph, a formula, or a ve...
 1.1.1.4: In this section we discussed examples of ordinary, everyday functio...
 1.1.2.5: (a) Find an equation for the family of linear functions with slope ...
 1.1.3..5: The graph of is given. Use it to graph the following functions.
 1.1.4.5: Determine an appropriate viewing rectangle for the given function a...
 1.1.5.5: Graph the given functions on a common screen. How are these graphs ...
 1.1.6.5: function is given by a table of values, a graph, a formula, or a ve...
 1.1.1.5: Determine whether the curve is the graph of a function of . If it i...
 1.1.2.6: What do all members of the family of linear functions have in commo...
 1.1.3.6: The graph of is given. Use transformations to create a function who...
 1.1.4.6: Determine an appropriate viewing rectangle for the given function a...
 1.1.5.6: Graph the given functions on a common screen. How are these graphs ...
 1.1.6.6: function is given by a table of values, a graph, a formula, or a ve...
 1.1.1.6: Determine whether the curve is the graph of a function of . If it i...
 1.1.2.7: What do all members of the family of linear functions have in commo...
 1.1.3.7: The graph of is given. Use transformations to create a function who...
 1.1.4.7: Determine an appropriate viewing rectangle for the given function a...
 1.1.5.7: Make a rough sketch of the graph of the function. Do not use a calc...
 1.1.6.7: function is given by a table of values, a graph, a formula, or a ve...
 1.1.1.7: Determine whether the curve is the graph of a function of . If it i...
 1.1.2.8: Find expressions for the quadratic functions whose graphs are shown.
 1.1.3.8: How is the graph of related to the graph of ? Use your answer and F...
 1.1.4.8: Determine an appropriate viewing rectangle for the given function a...
 1.1.5.8: Make a rough sketch of the graph of the function. Do not use a calc...
 1.1.6.8: function is given by a table of values, a graph, a formula, or a ve...
 1.1.1.8: Determine whether the curve is the graph of a function of . If it i...
 1.1.2.9: Find an expression for a cubic function if and .
 1.1.3.9: Graph the function by hand, not by plotting points, but by starting...
 1.1.4.9: Determine an appropriate viewing rectangle for the given function a...
 1.1.5.9: Make a rough sketch of the graph of the function. Do not use a calc...
 1.1.6.9: function is given by a table of values, a graph, a formula, or a ve...
 1.1.1.9: The graph shown gives the weight of a certain person as a function ...
 1.1.2.10: Recent studies indicate that the average surface temperature of the...
 1.1.3.10: Graph the function by hand, not by plotting points, but by starting...
 1.1.4.10: Determine an appropriate viewing rectangle for the given function a...
 1.1.5.10: Make a rough sketch of the graph of the function. Do not use a calc...
 1.1.6.10: function is given by a table of values, a graph, a formula, or a ve...
 1.1.1.10: The graph shown gives a salesmans distance from his home as a funct...
 1.1.2.11: If the recommended adult dosage for a drug is (in mg), then to dete...
 1.1.3.11: Graph the function by hand, not by plotting points, but by starting...
 1.1.4.11: Determine an appropriate viewing rectangle for the given function a...
 1.1.5.11: Make a rough sketch of the graph of the function. Do not use a calc...
 1.1.6.11: function is given by a table of values, a graph, a formula, or a ve...
 1.1.1.11: You put some ice cubes in a glass, ll the glass with cold water, an...
 1.1.2.12: The manager of a weekend ea market knows from past experience that ...
 1.1.3.12: Graph the function by hand, not by plotting points, but by starting...
 1.1.4.12: Determine an appropriate viewing rectangle for the given function a...
 1.1.5.12: Make a rough sketch of the graph of the function. Do not use a calc...
 1.1.6.12: function is given by a table of values, a graph, a formula, or a ve...
 1.1.1.12: Sketch a rough graph of the number of hours of daylight as a functi...
 1.1.2.13: The relationship between the Fahrenheit and Celsius temperature sca...
 1.1.3.13: Graph the function by hand, not by plotting points, but by starting...
 1.1.4.13: Determine an appropriate viewing rectangle for the given function a...
 1.1.5.13: Starting with the graph of , write the equation of the graph that r...
 1.1.6.13: function is given by a table of values, a graph, a formula, or a ve...
 1.1.1.13: Sketch a rough graph of the outdoor temperature as a function of ti...
 1.1.2.14: Jason leaves Detroit at 2:00 PM and drives at a constant speed west...
 1.1.3.14: Graph the function by hand, not by plotting points, but by starting...
 1.1.4.14: Determine an appropriate viewing rectangle for the given function a...
 1.1.5.14: Starting with the graph of y ! ex find the equation of thegraph tha...
 1.1.6.14: function is given by a table of values, a graph, a formula, or a ve...
 1.1.1.14: Sketch a rough graph of the market value of a new car as a function...
 1.1.2.15: Biologists have noticed that the chirping rate of crickets of a cer...
 1.1.3.15: Graph the function by hand, not by plotting points, but by starting...
 1.1.4.15: Graph the ellipse by graphing the functions whose graphs are the up...
 1.1.5.15: Find the domain of each function.
 1.1.6.15: If is a onetoone function such thatf$2# ! 9 whatis f !1$9#
 1.1.1.15: Sketch the graph of the amount of a particular brand of coffee sold...
 1.1.2.16: The manager of a furniture factory nds that it costs $2200 to manuf...
 1.1.3.16: Graph the function by hand, not by plotting points, but by starting...
 1.1.4.16: Graph the hyperbola by graphing the functions whose graphs are the ...
 1.1.5.16: Find the domain of each function.
 1.1.6.16: Let f $x# ! 3 $ x !1 % x % 1 2 $ tan$"x"2# where !1 % x % 1 (a) Fin...
 1.1.1.16: You place a frozen pie in an oven and bake it for an hour. Then you...
 1.1.2.17: At the surface of the ocean, the water pressure is the same as the ...
 1.1.3.17: Graph the function by hand, not by plotting points, but by starting...
 1.1.4.17: Do the graphs intersect in the given viewing rectangle? If they do,...
 1.1.5.17: Find the exponential function f#x$ ! Caxwhose graph isgiven.
 1.1.6.17: If t$x# ! 3 $ x $ e $4# x find t!1
 1.1.1.17: A homeowner mows the lawn every Wednesday afternoon. Sketch a rough...
 1.1.2.18: The monthly cost of driving a car depends on the number of miles dr...
 1.1.3.18: Graph the function by hand, not by plotting points, but by starting...
 1.1.4.18: Do the graphs intersect in the given viewing rectangle? If they do,...
 1.1.5.18: Find the exponential function f#x$ ! Caxwhose graph isgiven.
 1.1.6.18: The graph of is given. (a) Why is onetoone? (b) What are the doma...
 1.1.1.18: An airplane takes off from an airport and lands an hour later at an...
 1.1.2.19: For each scatter plot, decide what type of function you might choos...
 1.1.3.19: Graph the function by hand, not by plotting points, but by starting...
 1.1.4.19: Find all solutions of the equation correct to two decimal places.
 1.1.5.19: If f #x$ ! 5x show that f(x " h) ! f(x)h ! 5x(5h ! 1h )
 1.1.6.19: The formula , where , expresses the Celsius temperature C as a func...
 1.1.1.19: The number N (in millions) of cellular phone subscribers worldwide ...
 1.1.2.20: For each scatter plot, decide what type of function you might choos...
 1.1.3.20: Graph the function by hand, not by plotting points, but by starting...
 1.1.4.20: Find all solutions of the equation correct to two decimal places.
 1.1.5.20: Suppose you are offered a job that lasts one month. Which of the fo...
 1.1.6.20: In the theory of relativity, the mass of a particle with speed is w...
 1.1.1.20: Temperature readings (in F) were recorded every two hours from midn...
 1.1.2.21: The table shows (lifetime) peptic ulcer rates (per 100 population) ...
 1.1.3.21: Graph the function by hand, not by plotting points, but by starting...
 1.1.4.21: Find all solutions of the equation correct to two decimal places.
 1.1.5.21: Suppose the graphs of and are drawn ona coordinate grid where the u...
 1.1.6.21: Find a formula for the inverse of the function.
 1.1.1.21: If , nd , , , , , , , , and .
 1.1.2.22: Biologists have observed that the chirping rate of crickets of a ce...
 1.1.3.22: Graph the function by hand, not by plotting points, but by starting...
 1.1.4.22: We saw in Example 9 that the equation has exactly one solution. (a)...
 1.1.5.22: Compare the functions f#x$ ! x 5 and t#x$ ! 5x by graphingboth func...
 1.1.6.22: Find a formula for the inverse of the function.
 1.1.1.22: A spherical balloon with radius r inches has volume . Find a functi...
 1.1.2.23: The table gives the winning heights for the Olympic pole vault comp...
 1.1.3.23: Graph the function by hand, not by plotting points, but by starting...
 1.1.4.23: Use graphs to determine which of the functions and is eventually la...
 1.1.5.23: Compare the functions f#x$ ! x 10 and t#x$ ! ex y graphingboth and ...
 1.1.6.23: Find a formula for the inverse of the function.
 1.1.1.23: Evaluate the difference quotient for the given function. Simplify y...
 1.1.2.24: A study by the US Ofce of Science and Technology in 1972 estimated ...
 1.1.3.24: Graph the function by hand, not by plotting points, but by starting...
 1.1.4.24: Use graphs to determine which of the functions and is eventually la...
 1.1.5.24: Use a graph to estimate the values of such that e . x & 1,000,000,000
 1.1.6.24: Find a formula for the inverse of the function.
 1.1.1.24: Evaluate the difference quotient for the given function. Simplify y...
 1.1.2.25: Use the data in the table to model the population of the world in t...
 1.1.3.25: The city of New Orleans is located at latitude . Use Figure 9 to nd...
 1.1.4.25: For what values of is it true that ?
 1.1.5.25: Under ideal conditions a certain bacteria population is known to do...
 1.1.6.25: Find a formula for the inverse of the function.
 1.1.1.25: Evaluate the difference quotient for the given function. Simplify y...
 1.1.2.26: The table shows the mean (average) distances d of the planets from ...
 1.1.3.26: A variable star is one whose brightness alternately increases and d...
 1.1.4.26: Graph the polynomials and on the same screen, rst using the viewing...
 1.1.5.26: A bacterial culture starts with 500 bacteria and doubles in size ev...
 1.1.6.26: Find a formula for the inverse of the function.
 1.1.1.26: Evaluate the difference quotient for the given function. Simplify y...
 1.1.3.27: (a) How is the graph of related to the graph of ? (b) Sketch the gr...
 1.1.4.27: In this exercise we consider the family of root functions , where i...
 1.1.5.27: Use a graphing calculator with exponential regression capability to...
 1.1.6.27: Find an explicit formula for and use it to graph , and the line on ...
 1.1.1.27: Find the domain of the function.
 1.1.3.28: Use the given graph of to sketch the graph of . Which features of a...
 1.1.4.28: In this exercise we consider the family of functions , where is a p...
 1.1.5.28: The table gives the population of the United States, in millions, f...
 1.1.6.28: Find an explicit formula for and use it to graph , and the line on ...
 1.1.1.28: Find the domain of the function.
 1.1.3.29: Find , , , and and state their domains. ,
 1.1.4.29: Graph the function for several values of . How does the graph chang...
 1.1.5.29: If you graph the function youll see that appears to be an odd funct...
 1.1.6.29: Use the given graph of to sketch the graph of .
 1.1.1.29: Find the domain of the function.
 1.1.3.30: Find , , , and and state their domains. ,
 1.1.4.30: Graph the function for various values of . Describe how changing th...
 1.1.5.30: Graph several members of the family of functions where . How does t...
 1.1.6.30: Use the given graph of to sketch the graph of .
 1.1.1.30: Find the domain of the function.
 1.1.3.31: Find the functions (a) , (b) , (c) , and (d) and their domains.
 1.1.4.31: Graph the function , , for , and 6. How does the graph change as in...
 1.1.6.31: (a) How is the logarithmic function defined? (b) What is the domain...
 1.1.1.31: Find the domain of the function.
 1.1.3.32: Find the functions (a) , (b) , (c) , and (d) and their domains.
 1.1.4.32: The curves with equations are called bulletnose curves. Graph some...
 1.1.6.32: (a) What is the natural logarithm? (b) What is the common logarithm...
 1.1.1.32: Find the domain and range and sketch the graph of the function .
 1.1.3.33: Find the functions (a) , (b) , (c) , and (d) and their domains.
 1.1.4.33: What happens to the graph of the equation as varies?
 1.1.6.33: Find the exact value of each expression.
 1.1.1.33: Find the domain and sketch the graph of the function.
 1.1.3.34: Find the functions (a) , (b) , (c) , and (d) and their domains.
 1.1.4.34: This exercise explores the effect of the inner function on a compos...
 1.1.6.34: Find the exact value of each expression.
 1.1.1.34: Find the domain and sketch the graph of the function.
 1.1.3.35: Find the functions (a) , (b) , (c) , and (d) and their domains.
 1.1.4.35: The figure shows the graphs of and as displayed by a TI83 graphing...
 1.1.6.35: Find the exact value of each expression.
 1.1.1.35: Find the domain and sketch the graph of the function.
 1.1.3.36: Find the functions (a) , (b) , (c) , and (d) and their domains.
 1.1.4.36: The first graph in the figure is that of as displayed by a TI83 gr...
 1.1.6.36: Find the exact value of each expression.
 1.1.1.36: Find the domain and sketch the graph of the function.
 1.1.3.37: Find f.g.h
 1.1.6.37: Express the given quantity as a single logarithm.
 1.1.1.37: Find the domain and sketch the graph of the function.
 1.1.3.38: Find f.g.h
 1.1.6.38: Express the given quantity as a single logarithm.
 1.1.1.38: Find the domain and sketch the graph of the function.
 1.1.3.39: Find f.g.h
 1.1.6.39: Express the given quantity as a single logarithm.
 1.1.1.39: Find the domain and sketch the graph of the function.
 1.1..3.40: Find f.g.h
 1.1.6.40: Use Formula 10 to evaluate each logarithm correct to six decimalpla...
 1.1.1.40: Find the domain and sketch the graph of the function.
 1.1.3.41: Express the function in the form
 1.1.6.41: Use Formula 10 to graph the given functions on a common screen. How...
 1.1.1.41: Find the domain and sketch the graph of the function.
 1.1.3.42: Express the function in the form
 1.1.6.42: Use Formula 10 to graph the given functions on a common screen. How...
 1.1.1.42: Find the domain and sketch the graph of the function.
 1.1.3.43: Express the function in the form
 1.1.6.43: Suppose that the graph of is drawn on a coordinate grid where the u...
 1.1.1.43: Find the domain and sketch the graph of the function.
 1.1.3.44: Express the function in the form
 1.1.6.44: Compare the functions and by graphing both and in several viewing r...
 1.1.1.44: Find the domain and sketch the graph of the function.
 1.1.3.45: Express the function in the form
 1.1.6.45: Make a rough sketch of the graph of each function. Do not use a cal...
 1.1.1.45: Find an expression for the function whose graph is the given curve....
 1.1.3.46: Express the function in the form
 1.1.6.46: Make a rough sketch of the graph of each function. Do not use a cal...
 1.1.1.46: Find an expression for the function whose graph is the given curve....
 1.1.3.47: Express the function in the form
 1.1.6.47: Solve each equation for x
 1.1.1.47: Find an expression for the function whose graph is the given curve....
 1.1.3.48: Express the function in the form
 1.1.6.48: Solve each equation for x
 1.1.1.48: Find an expression for the function whose graph is the given curve....
 1.1.3.49: Express the function in the form
 1.1.6.49: Solve each equation for x
 1.1.1.49: Find an expression for the function whose graph is the given curve.
 1.1.3.50: Use the table to evaluate each expression.
 1.1.6.50: Solve each equation for x
 1.1.1.50: Find an expression for the function whose graph is the given curve.
 1.1.3.51: Use the given graphs of and to evaluate each expression, or explain...
 1.1.6.51: Solve each inequality for x
 1.1.1.51: Find a formula for the described function and state its domain.A re...
 1.1.3.52: Use the given graphs of and to estimate the value of for . Use thes...
 1.1.6.52: Solve each inequality for x
 1.1.1.52: Find a formula for the described function and state its domain. A r...
 1.1.3.53: A stone is dropped into a lake, creating a circular ripple that tra...
 1.1.6.53: Find (a) the domain of and (b) and its domain.
 1.1.1.53: Find a formula for the described function and state its domain.Expr...
 1.1.3,54: . A spherical balloon is being inated and the radius of the balloon...
 1.1.6.54: Find (a) the domain of and (b) and its domain.
 1.1.1.54: Find a formula for the described function and state its domain. Exp...
 1.1.3.55: A ship is moving at a speed of parallel to a straight shoreline. Th...
 1.1.6.55: Graph the function and explain why it is onetoone. Then use a com...
 1.1.1.55: An open rectangular box with volume 2 m has a square base. Express ...
 1.1.3.56: An airplane is ying at a speed of at an altitude of one mile and pa...
 1.1.6.56: (a) If , use a computer algebra system to find an expression for . ...
 1.1.1.56: A Norman window has the shape of a rectangle surmounted by a semici...
 1.1.3.57: The Heaviside function H is dened byIt is used in the study of elec...
 1.1.6.57: If a bacteria population starts with 100 bacteria and doubles every...
 1.1.1.57: A box with an open top is to be constructed from a rectangular piec...
 1.1.3.58: The Heaviside function dened in Exercise 57 can also be used to den...
 1.1.6.58: When a camera flash goes off, the batteries immediately begin to re...
 1.1.1.58: A taxi company charges two dollars for the rst mile (or part of a m...
 1.1.3.59: Let and be linear functions with equations and . Is also a linear f...
 1.1.6.59: Find the exact value of each expression. Find the exact value of ea...
 1.1.1.59: In a certain country, income tax is assessed as follows. There is n...
 1.1.1.60: The functions in Example 10 and Exercises 58 and 59(a) are called s...
 1.1.3.60: If you invest dollars at 4% interest compounded annually, then the ...
 1.1.6.60: Find the exact value of each expression.
 1.1.1.61: Graphs of and are shown. Decide whether each function is even, odd,...
 1.1.3.61: (a) If and , nd a function such that . (Think about what operations...
 1.1.6.61: Find the exact value of each expression.
 1.1.1.62: Graphs of and are shown. Decide whether each function is even, odd,...
 1.1.3.62: If and , nd a function such that
 1.1.6.62: Find the exact value of each expression.
 1.1.1.63: (a) If the point is on the graph of an even function, what other po...
 1.1.3.63: (a) Suppose and are even functions. What can you say about and ? (b...
 1.1.6.63: Find the exact value of each expression.
 1.1.1.64: A function has domain and a portion of its graph is shown. (a) Comp...
 1.1.3.64: Suppose is even and is odd. What can you say about ?
 1.1.6.64: Find the exact value of each expression.
 1.1.1.65: Determine whether is even, odd, or neither. If you have a graphing ...
 1.1.3.65: Suppose tis an even function and let . Is h always an even function?
 1.1.6.65: Prove that cossin1 x s1 x 2sin(
 1.1.1.66: Determine whether is even, odd, or neither. If you have a graphing ...
 1.1.3.66: Suppose tis an odd function and let . Is h always an odd function? ...
 1.1.6.66: Simplify the expression
 1.1.1.67: Determine whether is even, odd, or neither. If you have a graphing ...
 1.1.6.67: Simplify the expression
 1.1.1.68: Determine whether is even, odd, or neither. If you have a graphing ...
 1.1.6.68: Simplify the expression
 1.1.1.69: Determine whether is even, odd, or neither. If you have a graphing ...
 1.1.6.69: Graph the given functions on the same screen. How are these graphs ...
 1.1.1.70: Determine whether is even, odd, or neither. If you have a graphing ...
 1.1.6.70: Graph the given functions on the same screen. How are these graphs ...
 1.1.6.71: Find the domain and range of the function tx sin13x 1y tan
 1.1.6.72: (a) Graph the function and explain theappearance of the graph.(b) G...
 1.1.6.73: (a) If we shift a curve to the left, what happens to its reflection...
Solutions for Chapter 1: FUNCTIONS AND MODELS 10
Full solutions for Single Variable Calculus: Early Transcendentals (Available 2010 Titles Enhanced Web Assign)  6th Edition
ISBN: 9780495011699
Solutions for Chapter 1: FUNCTIONS AND MODELS 10
Get Full SolutionsChapter 1: FUNCTIONS AND MODELS 10 includes 301 full stepbystep solutions. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals (Available 2010 Titles Enhanced Web Assign), edition: 6. This expansive textbook survival guide covers the following chapters and their solutions. Since 301 problems in chapter 1: FUNCTIONS AND MODELS 10 have been answered, more than 79200 students have viewed full stepbystep solutions from this chapter. Single Variable Calculus: Early Transcendentals (Available 2010 Titles Enhanced Web Assign) was written by and is associated to the ISBN: 9780495011699.

Bar chart
A rectangular graphical display of categorical data.

Circular functions
Trigonometric functions when applied to real numbers are circular functions

Composition of functions
(f ? g) (x) = f (g(x))

DMS measure
The measure of an angle in degrees, minutes, and seconds

Domain of validity of an identity
The set of values of the variable for which both sides of the identity are defined

Frequency
Reciprocal of the period of a sinusoid.

Frequency table (in statistics)
A table showing frequencies.

Graph of a relation
The set of all points in the coordinate plane corresponding to the ordered pairs of the relation.

Infinite limit
A special case of a limit that does not exist.

Inverse function
The inverse relation of a onetoone function.

Magnitude of a real number
See Absolute value of a real number

Major axis
The line segment through the foci of an ellipse with endpoints on the ellipse

nth root of a complex number z
A complex number v such that vn = z

Order of an m x n matrix
The order of an m x n matrix is m x n.

Positive numbers
Real numbers shown to the right of the origin on a number line.

Probability simulation
A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

Quotient rule of logarithms
logb a R S b = logb R  logb S, R > 0, S > 0

Remainder theorem
If a polynomial f(x) is divided by x  c , the remainder is ƒ(c)

Upper bound for real zeros
A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.

Viewing window
The rectangular portion of the coordinate plane specified by the dimensions [Xmin, Xmax] by [Ymin, Ymax].