Q 1. - Precalculus Enhanced with Graphing Utilities

Question

Sketch the graph of $y=\sqrt{x}$

Step-by-Step Solution

Answer

The graph of $y=\sqrt{x}$ is:

Step 1. Given information

The given function is

$y=\sqrt{x}$

Step 2. Find the intercepts

Consider $y=0$ to find the $x$ intercept

$\begin{array}{l}y=\sqrt{x}\\ 0=\sqrt{x}\\ x=0\end{array}$

The $x$ intercept is $(0,0)$

Consider $x=0$ to find the $y$ intercept

$\begin{array}{l}y=\sqrt{0}\\ y=0\end{array}$

$y$ intercept is $(0,0)$

Therefore $(0,0)$ is the only intercept.

Step 3. Form the table

Substitute the values of $x,y$ to obtain the  points.

x	y	(x,y)
0	0	(0,0)
1	1	(1,1)
4	2	(4,2)

Step 4. Plot the graph

The graph is: