Question

1. is the relation shown below a function?

(0, 3), (1, 4), (2, 3), (3, 0), (5, 4)
6.
justify:

Explanation:

Step1: Recall function definition

A relation is a function if each input (x - value) has exactly one output (y - value).

Step2: Check x - values

List the x - values from the ordered pairs: 0, 1, 2, 3, 5.
Check if any x - value is repeated. 0 appears once, 1 appears once, 2 appears once, 3 appears once, 5 appears once. So each x - value has only one corresponding y - value.

Answer:

Yes.
Justify: Each input (x - value: 0, 1, 2, 3, 5) has exactly one output (y - value), so the relation is a function.