Question

help with calc!

Answer 1

Determine algebraically whether the function is even, odd, or neither even nor odd.

Answer 2

@ganeshie8 HELP!

Answer 3

@ganeshie8 @ganeshie8 @ganeshie8

Answer 4

so the testing of a function for odd, even or neither involves substituting

x = - x into the function and then simplifying

the conditions are

if

f(-x) = f(x) the function is even

f(-x) = -f(x) the function is odd

f(-x) doesn't follow the above rules its neither

so

\[f(-x) = -4(-x)^3 + 4(-x)\]

now simplify it and see what you get

Answer 5

4x-4x

Answer 6

so it would be even? @campbell_st

Answer 7

@campbell_st help!

Answer 8

no you get

\[f(-x) = 4x^3 - 4x =-(-4x^3 + 4x)\]

you get the negative version of the original function... so its odd

Answer 9

ohhh gotcha, thanks!