Chapter 11, Problem 45RE

To determine

To find: The graph of the inequality.

Answer to Problem 45RE

The graph of inequality is shown in Figure-(1). It can be verified by graphing utility.

Explanation of Solution

Given information:

The inequality is $y\le x^2$

Calculation:

Consider the inequality.

  $y\le x^2$

Check the value of inequality for $\left(3,4\right)$ .

  $\begin{array}{l}\left(4\right)\le {\left(3\right)}^2\\ 4\le 9\end{array}$

Here, $\left(3,4\right)$ satisfies the inequality.

Draw the graph of inequality.

  

Figure-(1)

The shaded part in Figure-(1) denotes the region where inequality satisfies.

Therefore, the graph of inequality is shown in Figure-(1). It can be verified by graphing utility.