Question

How do you determine if `h(x) = 7x^4 -9x^2` is an even or odd function?

Answer 1

Because `h(-x)=7*(-x)^4-9*(-x)^2=7*x^4-9x^2=h(x)` where `x` belongs in the domain of `h(x)`
the function is even.

That means that the graph of `h(x)` is symmetric with respect to the y-axis.

Below is the graph of `h(x)` which clearly supports our claim.