Question

1. which input-output pair violates the definition of a function?

a. (1,3),(1,4),(2,5)
b. (0,0),(1,1),(2,2)
c. (0,1),(2,3),(3,4)
d. (1,3),(2,4),(3,5)

Explanation:

Step1: Recall function definition

A function requires each input (x-value) to map to exactly one output (y-value).

Step2: Analyze option a

Check x-values: Input 1 maps to 3 and 4.

Step3: Analyze other options

Options b, c, d have unique x-values with one y-value each.

Answer:

a. (1,3),(1,4),(2,5)