Q. 20 - Precalculus Enhanced with Graphing Utilities

Question

Sketch the graph of each function. Be sure to label three points on the graph. 

$f\left(x\right)=\sqrt{x}$

Step-by-Step Solution

Answer

The graph is

Step 1. Given information.

The given function is,

$f\left(x\right)=\sqrt{x}$.

Step 2. Finding the ordered pairs.

Using the point plotting method we get,

$x$	$$\begin{gathered} y=f\left(x\right) \\ =\sqrt{x} \end{gathered}$$	$\left(x,y\right)$
$1$	$$\begin{gathered} y=\sqrt{1} \\ =1 \end{gathered}$$	$\left(1,1\right)$
$4$	$$\begin{gathered} y=\sqrt{4} \\ =2 \end{gathered}$$	$\left(4,2\right)$
$9$	$$\begin{gathered} y=\sqrt{9} \\ =3 \end{gathered}$$	$\left(9,3\right)$

Step 3. Plotting the points on a graph.

The graph is