# How do you determine if #f(x)=2x^4-x^2# is an even or odd function?

This is how to test for even function:

If replacing x with -x will not change anything in the function f(x) then it is an Even function

Let us do it

try replacing x with -x

You see clearly that

Therefore, it is an Even function.

God bless....I hope the explanation is useful.

By signing up, you agree to our Terms of Service and Privacy Policy

To determine if the function ( f(x) = 2x^4 - x^2 ) is even or odd:

- Substitute ( -x ) for ( x ) in the function.
- Simplify the expression.
- If the result is equal to ( f(x) ), the function is even. If it's equal to (-f(x)), the function is odd. If neither, the function is neither even nor odd.

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

- Substitute ( -x ) for ( x ): ( f(-x) = 2(-x)^4 - (-x)^2 ).
- Simplify: ( f(-x) = 2x^4 - x^2 ).

Since ( f(-x) = f(x) ), the function is even.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- If G(x)=1/x were shifted 4 units to the left and 4 units up, what would the new equation be?
- How to find the range of #x^2/(1-x^2)#?
- How do you find the inverse of #y=((x^2)-4)/x# and is it a function?
- How do you find all the asymptotes for function #y=(x^2-4)/(x)#?
- How do you find the (f o g o h) (x) for #f(x)=(x-2)/(2x+1), #g(x)=3x+1#, #h(x)=x^2#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7