Question

Consider the function below.

x -1 0 1 2
f(x) -2 3 8 13

Which of the following functions could be the inverse of function f?

A.
x -2 3 8 13
q(x) -1 0 1 2

B.
x 1 0 -1 -2
s(x) -2 3 8 13

C.
x -2 -3 -8 -13
r(x) 1 0 -1 -2

D.
x -1 0 1 2
p(x) 2 -3 -8 -13

Answer 1

A.

x -2 3 8 13

q(x) -1 0 1 2

Explanation:

The inverse function swaps the positions in each ordered pair.

For the function ...

{(-1, -2), (0, 3), (1, 8), (2, 13)}

The inverse function is ...

{(-2, -1), (3, 0), (8, 1), (13, 2)} . . . . . matches choice A