SOLUTION: hi, I have to determine if this function is even odd or neither...I believe is even because of the {{{x^4}}} in {{{f(x)=6x^4+5x-3}}} but i am not sure can someone please help? than

Question 85167: hi, I have to determine if this function is even odd or neither...I believe is even because of the in but i am not sure can someone please help? thanks!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
A function is even when this is true

where in this case and

so lets pick any number to plug in for x, say x=2

Plug in x=2

Raise 2 and -2 to the 4th power

Multiply

Combine like terms

Since this equation is false, the function is not even

It turns out that if you have a sum of an even function (in this case ) and an odd function (in this case ) then the function is neither even nor odd. So that means the function is neither even nor odd. So it doesn't matter if there is an in the function. If there was only an in the function, and nothing else, then the function would be even.
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