Comparing a Function and Its Inverse

Question 1

Complete the sentences to compare the functions. The y-intercept of f(x) has the same value as the . The function f–1(x) has a range including all values greater than or equal to 0; therefore, the does also.

Revolt · Accepted Answer

x-intercept of f inverse; Selection 1: x-intercept of f inverse; Selection 2: domain of f

Question 2

Question 2

Revolt · Accepted Answer

domain of f

Question 3

Question 3

Revolt · Accepted Answer

smallest value in the domain of f inverse

Question 4

The function f(x) = ln(x) has a domain of all real numbers greater than zero and a range of all real numbers. The inverse of this function is f–1(x) = ex. Which conclusion can be drawn by comparing the two functions?

Revolt · Accepted Answer

The domain of f–1(x) is all real numbers and the range is all real numbers greater than 0.

Question 5

Consider the function and its inverse, .Which statement describes how the x-intercept for the original function can be determined?

Revolt · Accepted Answer

The x-intercept for f(x) is the constant in the f–1(x) equation.

Question 6

Which statements accurately compare the function and its inverse? Check all that apply.

Revolt · Accepted Answer

The domains of the two functions extend to positive infinity.; The ranges of the two functions are all real numbers.; Neither function has a minimum.

Question 7

Complete the sentences to compare the functions. The range of f–1(x) is . The domain of f(x) is . The minimum of f(x) is equal to the .

Revolt · Accepted Answer

all real numbers; Selection 1: all real numbers; Selection 2: all real numbers; Selection 3: smallest value in the domain of f inverse

Question 8

A linear function and its inverse are given below.y = 2x – 2 Which tables could be used to verify that the functions are inverses of each other? Check all that apply.

Revolt · Accepted Answer

table B; table E

Question 9

Table A shows the Fahrenheit temperatures for select Celsius temperatures. Table B shows the Celsius temperatures for select Fahrenheit temperatures. Table A Table B The tables show that the two functions are because the ordered pair (x, y) for one function is the ordered pair for the other function.

Revolt · Accepted Answer

inverses; Selection 1: inverses; Selection 2: (y, x)

Question 10

Which rationale best describes why the functions are inverses?

Revolt · Accepted Answer

The functions are reflections over the line y = x.

Comparing a Function and Its Inverse Answers

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