Comparing a Function and Its Inverse Answers

✔ x-intercept of f inversey-intercept of f inversex-intercept of f

The function f–1(x) has a range including all values greater than or equal to 0; therefore, the does also.

Complete the sentences to compare the functions.

all real numbers greater than 0✔ all real numbersall real numbers less than 0

✔ smallest value in the domain of f inverselargest value in the domain of f inverselargest value in the domain of f

Table A shows the Fahrenheit temperatures for select Celsius temperatures. Table B shows the Celsius temperatures for select Fahrenheit temperatures.

(x, y) ✔ (y, x)(1/x, 1/y)

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?

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

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

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 .

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.

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.

Which rationale best describes why the functions are inverses?

The y-intercept of f(x) has the same value as the .

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?

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

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

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.

Which rationale best describes why the functions are inverses?