Question

try it! identify the inverse relation. is it a function?

x: -1, 0, 1, 2, 3, 4
y: 9, 7, 5, 3, 1, -1

Explanation:

Step1: Swap x and y values

Original ordered pairs: $(-1,9), (0,7), (1,5), (2,3), (3,1), (4,-1)$
Inverse ordered pairs: $(9,-1), (7,0), (5,1), (3,2), (1,3), (-1,4)$

Step2: Check if inverse is a function

Verify each input has one output: All x-values (9,7,5,3,1,-1) are unique, so each maps to exactly one y-value.

Answer:

The inverse relation is the set of ordered pairs $(9,-1), (7,0), (5,1), (3,2), (1,3), (-1,4)$, and it is a function.