Q. 30 - 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 given as

Step 1. Make a table of values

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

A table of values for the function is given as

$x$	$\begin{array}{rcl}y& =& f\left(x\right)\\ & =& \sqrt{x}\end{array}$	$(x,y)$
$0$	$\sqrt{0}=0$	$(0,0)$
$4$	$\sqrt{4}=2$	$(4,2)$
$9$	$\sqrt{9}=3$	$(9,3)$

Step 2. Graph the function

Plot the points and connect them to get the graph of the function.