What is the graph of f(x) = 3x^4?

May 1, 2018

A power function

Explanation:

Given: $f \left(x\right) = 3 {x}^{4}$

A power function has the form: $f \left(x\right) = a {x}^{p}$.

The $a$ is a constant. If $a > 1$ the function is stretched vertically. If $0 < x < 1$, the function is stretched horizontally.

If the power function is even, it looks like a parabola.

graph{3x^4 [-6.62, 6.035, -0.323, 6.003]}