Question

Which is the graph of the cube root function f(x) = cube root of x

Answer 1

Answer:

The function is given below as

$f(x)=\sqrt[3]{x}$

Step 1:

We will generate table of values for when x=0

$\begin{gathered} f(x)=\sqrt[3]{x} \\ when\text{ x=1} \\ y=\sqrt[3]{1} \\ y=1 \\ (1,1) \end{gathered}$

When x=-1

$\begin{gathered} f(x)=\sqrt[3]{x} \\ y=\sqrt[3]{-1} \\ y=-1 \\ (-1,-1) \end{gathered}$

when x=0

$\begin{gathered} y=\sqrt[3]{0} \\ y=0 \\ (0,0) \end{gathered}$

When x=8

$\begin{gathered} y=\sqrt[3]{x} \\ y=\sqrt[3]{8} \\ y=2 \\ (8,2) \end{gathered}$

When x=-8

$\begin{gathered} y=\sqrt[3]{-8} \\ y=-2 \\ (-8,-2) \end{gathered}$

The table of values is given below as

Using a graphing calculator, we will have the graph be