 77.R.0: Update your journal with what you have learned in this chapter. Inc...
 77.R.1: This problem concerns these five function values: x f(x) 2 1.2 4 4....
 77.R.2: a. Find the particular equation of a linear function containing the...
 77.R.3: For each table of values, tell from the pattern whether the functio...
 77.R.4: a. The most important thing to remember about logarithms is that a ...
 77.R.5: a. On the same screen, plot the graphs of y1 = ln x and y2 = ex. Us...
 77.R.6: a. Plot the graphs on the same screen and sketch the results. Logis...
 77.C.1: Rise and Run Property for Quadratic Functions Problem: The sum of c...
 77.C.2: Loglog and Semilog Graph Paper Problem: Let f(x) = 1000 0.65x be t...
 77.C.3: Slope Field Logistic Function Problem: The logistic functions you h...
 77.T.1: Write the general equation of a. A linear function b. A quadratic f...
 77.T.2: What type of function could have the graph shown? a. b. c. d. e. f.
 77.T.3: What numerical pattern is followed by regularly spaced data for a. ...
 77.T.4: Write the equation loga b = c in exponential form.
 77.T.5: Show how to use the logarithm of a power property to simplify log 5x.
 77.T.6: ln 80 + ln 2 ln 20 = ln
 77.T.7: log 5 + 2 log 3 = log
 77.T.8: Solve the equation: 4x 3 2x 4 = 0
 77.T.9: Solve the equation: log2 (x 4) log2 (x + 3) = 8
 77.T.10: Show that the data set in the table has the multiplymultiply proper...
 77.T.11: Write the general equation of a power function. Then use the points...
 77.T.12: Confirm that your equation in is correct by showing that it gives t...
 77.T.13: From fossilized shark teeth, naturalists think there were once grea...
 77.T.14: A newspaper report shows a great white shark that weighed 3000 poun...
 77.T.15: Make a plot of the information. From the plot, tell whether the gra...
 77.T.16: Find the particular equation of the exponential function that fits ...
 77.T.17: Extrapolate the exponential function backward to estimate the tempe...
 77.T.18: Use your equation to predict the temperature of the coffee half an ...
 77.T.19: The AddMultiply Property Proof 2: Prove that if y = 7(13x), then lo...
 77.T.20: Make a plot of the data points. Imagine fitting a function to the d...
 77.T.21: Show numerically that a quadratic function would fit by showing tha...
 77.T.22: Use any three of the points to find the particular equation of the ...
 77.T.23: Logarithmic Function 1: A logarithmic function f has f(2) = 4.1 and...
 77.T.24: Find the particular equation of the (untranslated) exponential func...
 77.T.25: Show that the logistic function g gives values for the population t...
 77.T.26: On the same screen, plot the four given points, the graph of f, and...
 77.T.27: Tell why the logistic function g gives more reasonable values for t...
 77.T.28: What did you learn from this test that you did not know before?
Solutions for Chapter 77: Properties of Elementary Functions
Full solutions for Precalculus with Trigonometry: Concepts and Applications  1st Edition
ISBN: 9781559533911
Solutions for Chapter 77: Properties of Elementary Functions
Get Full SolutionsThis textbook survival guide was created for the textbook: Precalculus with Trigonometry: Concepts and Applications, edition: 1. Precalculus with Trigonometry: Concepts and Applications was written by and is associated to the ISBN: 9781559533911. Chapter 77: Properties of Elementary Functions includes 38 full stepbystep solutions. Since 38 problems in chapter 77: Properties of Elementary Functions have been answered, more than 19619 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Addition property of equality
If u = v and w = z , then u + w = v + z

Annual percentage yield (APY)
The rate that would give the same return if interest were computed just once a year

Argument of a complex number
The argument of a + bi is the direction angle of the vector {a,b}.

Difference of functions
(ƒ  g)(x) = ƒ(x)  g(x)

Direction angle of a vector
The angle that the vector makes with the positive xaxis

End behavior
The behavior of a graph of a function as.

Equal matrices
Matrices that have the same order and equal corresponding elements.

Identity
An equation that is always true throughout its domain.

Inductive step
See Mathematical induction.

Length of an arrow
See Magnitude of an arrow.

Order of magnitude (of n)
log n.

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

Positive linear correlation
See Linear correlation.

Power function
A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

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.

Radius
The distance from a point on a circle (or a sphere) to the center of the circle (or the sphere).

Recursively defined sequence
A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

Sum of a finite arithmetic series
Sn = na a1 + a2 2 b = n 2 32a1 + 1n  12d4,

Unit vector
Vector of length 1.

Whole numbers
The numbers 0, 1, 2, 3, ... .