Comparing aa Function and its Inverse

Consider the function. f(x)=(3/4)x+12 What is the y-intercept of f-1(x)?

A) -16

A linear function and its inverse are given. y=4x-3 and y=1/4x Which tables could be used to verify that the functions are inverses of each other? Select two options.

B) x -23 y -5 D) x -5 y -23

The cost table shows the average cost, a(x), of producing x number of earbuds. When verifying that a function represented in another table is the inverse of the given cost function, which ordered pair can be expected?

B) (52, 20)

Which tables could be used to verify that the functions they represent are inverses of each other? Select two options.

C) x -120 y 627 D) x 627 y -120

Consider this function. f(x) = |x - 4| + 6 If 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?

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

Consider the function and its inverse. f(x)=x^2 +4 and f^-1(x)=-√x-4 When comparing the functions using the equations, which conclusion can be made?

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

A function and its inverse are shown on the graph. Which statement describes the relationship between the function and its inverse?

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

Consider the function. f(x)= 2 1/2-3 1/3x What is the x-intercept of f-1(x)?

D) (2 1/2, 0)

Consider the tables that represent ordered pairs corresponding to a function and its inverse. When comparing the functions using the values in the table, which conclusion can be made?

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

Students are asked to graph the inverse, f-1(x) of an absolute value function, f(x) after restricting its domain. The directions also ask that the graph include a dashed line that can be used to verify that the functions are inverses of each other. Which student's work is correct?

Graph B