Determine whether each function is even, odd, or neither. someone

even

neither

odd

neither

Step-by-step explanation:

f(-x)=f(x) means f is even

f(-x)=-f(x) means f is odd

Plug in -x.

(-x)^2=x^2 so we have

This was the same function we started with f(x), so this function is even.

Plug in -x

We did not get the opposite or the same function back, so this is neither.

The opposite would have looked like this -|x-3|.

Plug in -x.

since (-x)^2 is the same as x^2

We got the opposite back so it is odd.

Plug in -x.

(-x)^2=x^2

So we neither got the same or opposite back of the function, so it is neither.  The opposite would have looked like this -(x+x^2) or -x-x^2

So

even

neither

odd

neither

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