Question

Sketch the graph of$y=\sqrt{x}$

Short answer

The graph of $y=\sqrt{x}$is:

Step-by-step solution

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: