Question

the following table is showing an ______ function.

x	y
-2	12
-1	3
0	0
1	3
2	12

(1 point)
○ odd
○ even

Explanation:

Step1: Recall even - odd function definitions

An even function satisfies $f(x)=f(-x)$ for all $x$ in the domain, and an odd function satisfies $f(-x)=-f(x)$ for all $x$ in the domain.

Step2: Check the values in the table

When $x = - 2$, $y = f(-2)=12$; when $x = 2$, $y = f(2)=12$, so $f(-2)=f(2)$. When $x=-1$, $y = f(-1)=3$; when $x = 1$, $y = f(1)=3$, so $f(-1)=f(1)$. Also, $f(0)=0$. For all $x$ - values in the table, $f(x)=f(-x)$.

Answer:

Even