Question

34 which relation is a function?
a (1, 0), (3, 0), (1, 1), (3, 1) (1, 3)
b (1, 1), (2, 2), (3, 3), (4, 4), (5, 8)
c (2, 7), (6, 5), (4, 4), (3, 3), (2, 1)
d (9, -3), (9, 3), (4, -2), (4, 2), (0, 0)

Explanation:

Step1: Recall function definition

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

Step2: Check Option A

Input 1 maps to 0,1,3; input 3 maps to 0,1. Repeating inputs with multiple outputs: not a function.

Step3: Check Option B

Inputs 1,2,3,4,5 each map to only one output. No repeated inputs: this is a function.

Step4: Verify other options (optional)

Option C: Input 2 maps to 7 and 1: not a function.
Option D: Input 9 maps to -3 and 3; input 4 maps to -2 and 2: not a function.

Answer:

B. (1, 1), (2, 2), (3, 3), (4, 4), (5, 8)