Q. 18 - Precalculus Enhanced with Graphing Utilities

Question

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

$f\left(x\right)=x^2$

Step-by-Step Solution

Answer

The graph is 

Step 1. Given information.

The given function is,

$f\left(x\right)=x^2$

Step 2. Finding the ordered pairs.

Using the point plotting method we get, 

$x$	$$\begin{gathered} y=f\left(x\right) \\ =x^2 \end{gathered}$$	$\left(x,y\right)$
$-1$	$$\begin{gathered} y={\left(-1\right)}^2 \\ =1 \end{gathered}$$	$\left(-1,1\right)$
$0$	$$\begin{gathered} y={\left(0\right)}^2 \\ =0 \end{gathered}$$	$\left(0,0\right)$
$1$	$$\begin{gathered} y={\left(1\right)}^2 \\ =1 \end{gathered}$$	$\left(1,1\right)$

Step 3. Plotting the points on a graph.

The graph is