Chapter 3.5, Problem 4GP

Solution

To find : Domain and range from the graph of $y=4\sqrt[3]{x}$ .

Domain $=\left\{x\in R,x\ge 0\right\}$ and range $=\left\{y\in R,y\ge 0\right\}$ .

Given information:

The given square root function is $y=4\sqrt[3]{x}$ .

Concept used:

Plot the graph and then find the range and domain.

The graph of the function $y=4\sqrt[3]{x}$ is given below.

  

Here the function is $y=4\sqrt[3]{x}$ and $a=4$ .then graph is vertically stretched by a factor $4$ .

From the graph can say that domain $\left\{x\in R,x\ge 0\right\}$ and range will be $\left\{y\in R,y\ge 0\right\}$ .