Question

This set of points is on the graph of a function.

{(-3, 9), (-1, 1), (0, 0), (2, 4)}
Which points are on the graph of the inverse?
Select each correct answer.
(-9, 3)
(1, − 1)
(4,2)
(0, 0)

Answer 1

Points on the inverse are
`(1,-1), (4,2), \text{and } (0,0)`

Explanation:

When writing the inverse function of a set of points, you simply switch the coordinates:

`\text{Function}: (x,y)\\\text{Inverse}: (y,x)`

We are given the points

`(-3,9), (-1,1), (0,0), \text{and } (2,4)`

Using our rule for function, our new points will be

`(9,-3), (1,-1), (0,0), \text{and } (4,2)`

From the list, the points we have for the graph of the inverse are

`(1,-1), (4,2), \text{and } (0,0).`