Chapter 1.4, Problem 45E

To determine

To compare; the graph of the given function to its parent function and draw the conclusion.

Explanation of Solution

Given Information

The given function is, $f(x)=\sqrt{4x}$

we have to compare it with its parent function.

Its parent function is, $y=\sqrt{x}$

Now we will compare the functions graphically.

Graph

  

Calculation for example,

for x = 4

  $f(x)=\sqrt{4\times 4}=\sqrt{16}=4$

and

  $y=\sqrt{4}=2$

  $f(x)=4=2\times 2=2\times y$

  $f(x)=2y$

Conclusion On comparing we get

for value of 'x', the value of given function f (x) is double to its parent function, 'y'.