Question

need more help with my practice!According to the graph, is f even, odd or neither?

Answer 1

To determine if a function is odd or even, it is even when f(x) = f(-x), it is odd if f(x) = -f(-x)

Looking at x = 2, and x = -2

If x = 2, then f(x) = 4

If x = -2, then f(x) = -4

This does not satisfy for even.

If x =2, then f(x) = 4

Substitute -x,

-f(-x) = -f(-2) = -(-4) = 4

This satisfies for odd.

Hence the function is odd.