Question

which of these statements best describes the relation shown?

x	-5	-2	1	5
y	10	11	4	10

a. a function that is one - to - one
b. a function that is many - to - one
c. a function that is one - to - many
d. a relation that is not a function

Explanation:

Step1: Check if it's a function

Each x-value maps to exactly one y-value: $-5 \to 10$, $-2 \to 11$, $1 \to 4$, $5 \to 10$. No x has multiple y's, so it is a function.

Step2: Check function type

Two x-values ($-5$ and $5$) map to the same y-value ($10$). This means multiple inputs correspond to one output, so it is many-to-one.

Answer:

B. a function that is many-to-one