# math

posted by .

I know It's probably an easy question but I don't know remember how to do it.

Show the work to determine if the relation is even, odd, or neither.

a ) f(x) = 2x^2 - 7
b) f(x) = -4x^3 - 2x
c) f(x) = 4x^2 - 4x + 4

If f(-x) = f(x), for any x, the function is even.
If f(-x) = -f(x), for any x, the function is odd.
It can be neither.
Try substituting -x for x and see what you get.

Hint: Two of the functions are neither even nor odd.

Only c) is neither even nor odd.

## Similar Questions

1. ### odd and even functions

Using f is odd if f(-x) = -f(x) or even if f(-x) = f(x) for all real x, how do I 1)show that a polynomial P(x) that contains only odd powers of x is an odd function 2)show that if a polynomial P(x) contains both odd and even powders …
2. ### Algebra Functions

I don't understand how you determine whether a function is even, odd,or neither. Here are my problems: Determine whether the given function is even, odd, or neither. 8. f(x)=x^3-x^2 This is how I did it. f(-x)=(-x^3)- (-x^2)= (-x)(-x)(-x) …
3. ### Math (precalculus)

I have a question about the symmetry of graphs, but maybe it's more of a simple factoring question... Why is f(x)=x+(1/x) odd, while h(x)=x-x^2 is neither even nor odd?
4. ### math

Determine if each function is even, odd or neither. Show all work and include an explanation of any symmetry that exists. A) y = x^4 + 4x^2 B) y = 3x^3 - x - 3 C) y = x^5 - x^3 + x D)y = 3
5. ### math

Determine if each function is even, odd or neither. Show all work and include an explanation of any symmetry that exists. A) y = x^4 + 4x^2 B) y = 3x^3 - x - 3 C) y = x^5 - x^3 + x D)y = 3
6. ### Math

Auppose f is even but g is an arbitrary function (possibly neither even nor odd). (a) Is f o g still even?
7. ### Algebra2

Check Please? Determine if the given function is even, odd or neither. 1. f(x) = 3x^4 - 2x^2 =Even. 2. f(x) = x^3 + x = Odd.
8. ### AP Calculus

Show work to determine if the relation is even, odd, or neither. 1. 3x=|y| (|y|=abs. value of y) Simplify the following complex fractions. 2. [(3/x)-(4/y)]/[(4/x)-(3/y)] PLEASE HELP!
9. ### Math

Show work to determine if the relation is even, odd, or neither. f(|x|) = |x|- x^2 + 1 I thought it was even because the absolute value and squared will cancel the negatives, but I don't know how to show this through math..
10. ### Trigonometry

1. Using the definitions of odd and even functions, explain why y=sin x+1 is neither odd nor even. 2.Using the definition of an even function, show that y=-cos is even.

More Similar Questions