Question

f(x)=x^2-x^12+1
odd
even
neither

Answer 1

It's shifted to the right of the y-axis, so neither.

Answer 2

thanks

Answer 3

Do you know both the function-evaluation definition and the graphical definition of odd vs. even?

Answer 4

it is shifted up the y-axis, not to the right , along the x-axis @CliffSedge

Answer 5

Oh, woops, must have had my eyes crossed, I read the middle term as 12x instead of x^12! X-D

Answer 6

Yes, Unkle is correct, all three terms are of even degree.

Answer 7

\[f(x)=x^2-x^{12}+1\]\[\downarrow\]\[f(x)=x^2-x^{12}+x^0 \]

Answer 8

\[f(-x)=f(x) \rightarrow even.\]

Answer 9

\[f(-x)=(-x)^2-(-x)^{12}+(-x)^0=x^2-x^{12}+x^0=f(x)\]
\[\therefore \text{even}\]

Answer 10

Got all that, @avatar2012 ?