4.3 Cube Root Functions

Notes

The parent function is $\displaystyle f(x) = \sqrt[3]{x}$. Unlike square roots, cube roots work for negative numbers.

• Domain and range are all real numbers. $\displaystyle \sqrt[3]{-64} = -4$.
• Key points: $(-8, -2)$, $(-1, -1)$, $(0, 0)$, $(1, 1)$, $(8, 2)$.
• For $\displaystyle g(x) = a\sqrt[3]{x - h} + k$ the center point is $(h, k)$.
• $\displaystyle y = \sqrt[3]{x}$ is the inverse of $y = x^3$.