Chapter 4, Problem 4PRE

(a)

To determine

The domain of the function $h\left(x\right)=\sqrt[3]{x-2}$.

(b)

To determine

The range of the function $h\left(x\right)=\sqrt[3]{x-2}$..

(c)

To determine

The x-intercept(s) for the function $h\left(x\right)=\sqrt[3]{x-2}$.

(d)

To determine

The y-intercept(s) for the function $h\left(x\right)=\sqrt[3]{x-2}$.

(e)

To determine

The asymptotes of the function $h\left(x\right)=\sqrt[3]{x-2}$, if applicable.

(f)

To determine

The intervals over which the function $h\left(x\right)=\sqrt[3]{x-2}$ is increasing.

(g)

To determine

The intervals over which the function $h\left(x\right)=\sqrt[3]{x-2}$ is decreasing.

(h)

To determine

The match of the given function $h\left(x\right)=\sqrt[3]{x-2}$ with its graph.