Chapter 3.5, Problem 2GP

Solution

To find : Domain and range from the graph of $y=\frac{1}{4}\sqrt{x}$ .

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 $y=\frac{1}{4}\sqrt{x}$ .

Concept used:

Plot the graph and then find the range and domain.

The graph of the function $y=\frac{1}{4}\sqrt{x}$ is given below.

  

Here the function is $y=\frac{1}{4}\sqrt{x}$ and $a=\frac{1}{4},0<\left|\frac{1}{4}\right|<1$ .then graph will be vertically compressed by $\frac{1}{4}$ .

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