Comparing a Function and Its Inverse

Question 1

Consider the function.What is the x-intercept of f–1(x)?

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/evresources/597d69572e6817a15a5f7870ebb9282c.png

Question 2

Consider the function.What is the y-intercept of f–1(x)?

Revolt · Accepted Answer

–16

Question 3

The cost table shows the average cost, a(x), of producing x number of earbuds.

Revolt · Accepted Answer

(52, 20)

Question 4

Consider this function.f(x) = |x – 4| + 6If the domain is restricted to the portion of the graph with a positive slope, how are the domain and range of the function and its inverse related?

Revolt · Accepted Answer

Since the range of the original function is limited to y 6, the domain of the inverse function is x ≥ 6.

Question 5

Consider the tables that represent ordered pairs corresponding to a function and its inverse.

Revolt · Accepted Answer

The range of f(x) includes values such that y ≥ 1, so the domain of f–1(x) includes values such that x ≥ 1.

Question 6

The graph below shows two linear functions.

Revolt · Accepted Answer

The point of intersection of the two functions is not on the line y = x; therefore, the functions are not inverses of each other.

Question 7

Consider the function and its inverse. and When comparing the functions using the equations, which conclusion can be made?

Revolt · Accepted Answer

The domain of f(x) is restricted to x ≤ 0, and the domain of f–1(x) is restricted to x ≥ 4.

Question 8

A function and its inverse are shown on the graph.

Revolt · Accepted Answer

The range of f(x) is y > 0 and the domain of f–1(x) is x > 0.

Question 9

A function and its inverse are shown on the graph.

Revolt · Accepted Answer

f(x) domain: x ≥ 1f–1(x) range: y ≥ 1

Comparing a Function and Its Inverse Answers

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