even and odd functions

[wendywoo]

how is f(x)= x³+2 an even function. i think it's an odd function but the answer on my packet tells me that it's an even function.

these are my steps...
f(-x)= (-x)³+2= -x³+2. which proves that it's odd because it doesn't match up with the original function. explain why this is an even function!

 

[pka]

how is f(x)= x³+2 an even function. i think it's an odd function but the answer on my packet tells me that it's an even function.

That function is neither even nor odd.
The function \(\displaystyle f(x)=x^2+2\) is even. Maybe it is a typo?

 

[wendywoo]

thank you! neither is probably right.

how would I know if the function is even or odd if it's f(x)= 3sinx...??? if i plug in -x in, it would be 3sin(-x)...so it would be neither again or...

 

[Deleted member 4993]

thank you! neither is probably right.

how would I know if the function is even or odd if it's f(x)= 3sinx...??? if i plug in -x in, it would be 3sin(-x)...so it would be neither again or...

No

sin(-x) = - sin(x) ............ an odd function