Question

Determine if the function is an even function an odd function or neither y=2x^4+2x^2

Answer 1

Answer:

This function would be even.

Step-by-step explanation:

You can tell a function is even if you plug in -x for x and then simplify and it is the same function. This is the case below.

y = 2x^4 + 2x^2 ----> Plug in -x

y = 2(-x)^4 + 2(-x)^2 ----> Simplify

y = 2x^4 + 2x^2

You'll notice the simplified version is exactly the same as the original, which makes it odd.