The function f (x) = x^4 has an axis of symmetry the vertical axis y.

Question

True or False?

Answer 1

True.
One way to check is of course to plot the given function. You'll see it has an axis of symmetry at y-axis.
Another way is to replace x with -x. If the resulting function is the same as the original, it has an axis of symmetry at the y-axis. Like, in the given function,
f(x) = x^4
f(-x) = (-x)^4
f(-x) = x^4 = f(x)

Hope this helps~ :)

Answer 2

YES!!!! thank you very much!!