Math Is Fun Forum

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

More Even, Odd or Neither Functions

Determine if each function is even, odd, or neither.

1. f(x) = 2x^4 - x^2

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

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

I say even.

2. h(x) = 3x^3 + 5

h(-x) = 3(-x)^3 + 5

h(-x) = -3x^3 + 5

I say odd.

3. G(x) = sqrt{x}

G(-x) = sqrt{-x}

I say neither.

You say?

Bob

Administrator

Registered: 2010-06-20

Posts: 10,640

Re: More Even, Odd or Neither Functions

Yes, all good. You cannot find a square root in the real numbers for a minus so the decision concerning odd and even doesn't really apply.

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: More Even, Odd or Neither Functions

Yes, all good. You cannot find a square root in the real numbers for a minus so the decision concerning odd and even doesn't really apply.

Bob

Perfect. I hit a homerun here.