# How do you know if #f(x) = -2(x - 3) (x + 2) (4x - 3)# is an even or odd function?

It's neither odd nor even since it has a non-zero

The quickest way to determine whether a polynomial is an odd or even function is to see if it has all odd degree terms or all even degree terms or a mixture.

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

To determine if the function ( f(x) = -2(x - 3)(x + 2)(4x - 3) ) is even or odd:

- Substitute ( -x ) for ( x ) in the function.
- Simplify the expression.
- If the result is equal to the original function (( f(-x) = f(x) )), the function is even.
- If the result is equal to the negation of the original function (( f(-x) = -f(x) )), the function is odd.

Performing the substitution and simplification:

[ f(-x) = -2(-x - 3)(-x + 2)(4(-x) - 3) ]

[ = -2(-x - 3)(-x + 2)(-4x - 3) ]

Comparing with the original function:

[ f(-x) = -f(x) ]

Therefore, the function ( f(x) = -2(x - 3)(x + 2)(4x - 3) ) is an odd function.

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.

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