Question

1. is the relation shown in the table below a function?

input \t1 \t3 \t4 \t3
output \t1 \t9 \t16 \t27
yes
no
i dont know

Explanation:

Step1: Recall function definition

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

Step2: Analyze the table

Looking at the input values: the input \( 3 \) appears twice.

• When input is \( 3 \), the first output is \( 9 \) and the second output is \( 27 \).

Since the input \( 3 \) is associated with two different outputs (\( 9 \) and \( 27 \)), the relation does not satisfy the definition of a function.

Answer:

No (the option with "No" as the text, which is the second option in the given choices: the one with the green dot indicating it was previously selected, and the text "No")