Chapter 10.1, Problem 27E

To determine

To compare the graph.

Answer to Problem 27E

  $f(x):g(x)=4:1$

Explanation of Solution

Given information: $f\left(x\right)=\sqrt{x}$ and $g\left(x\right)=\frac{1}{4}\sqrt{x}$

Formula Used: Ratio Property

Calculation:

Graph of $f\left(x\right)=\sqrt{x}$ and $g\left(x\right)=\frac{1}{4}\sqrt{x}$

  $\begin{array}{cccc}x& 0& 1& 2\\ f(x)& 0& 1& 1.41\\ g(x)& 0& 0.25& 0.35\end{array}$

  

Now compare the graph of $g(x)$ to the graph of $f(x)$

  $\frac{f(x)}{g(x)}=\frac{\sqrt{x}}{\frac{1}{4}\sqrt{x}}$

Hence,

  $\frac{f(x)}{g(x)}=4$

So,

  $f(x):g(x)=4:1$