Question

does this table represent a function?
input 3 4 5 3
output 9 16 25 9
yes
no

Explanation:

Step1: Recall function definition

A function is a relation where each input (x - value) has exactly one output (y - value). But, an input can have the same output as another input, and a single input can map to the same output every time (it just needs to map to only one output).

Step2: Analyze the table

Looking at the input values: we have input 3 appearing twice. When input is 3, the output is 9 both times. Input 4 has output 16, input 5 has output 25. For each input (3, 4, 5), even though 3 is repeated, it always maps to 9 (only one output per input). So each input has exactly one output.

Answer:

Yes