Question

Which statement best describes how to determine whether f(x) = 9 – 4x2 is an odd function?

Answer 1

The function given to us is: $f(x)=9-4x^2$.

Now, let us perform the parity test on this function.

$f(-x)=9-4(-x)^2=9-4x^2=f(x)$

Since, $f(x)=f(-x)$ therefore, this function is not an odd function but is rather an even function.

Please find the attached graph of this function. The graph is symmetric about the y axis, further proving that the given function is indeed even.