Q. 47 - Precalculus Enhanced with Graphing Utilities

Question

Draw the graph of a function whose domain is  $\left\{x\right|-3\le x\le 8,x\ne 5\}$ and whose range is $\left\{y\right|-1\le y\le 2, y\ne 0\}$ What point(s) in the rectangle $-3\le x\le 8, -1\le y\le 2$ cannot be on the graph? Compare your graph with those of other students. What differences do you see?

Step-by-Step Solution

Answer

(5,0) can not be a point on the graph, That is why this point is represent by a hole on the graph above.

Step 1. Given Data

Domain of function -  $\left\{x\right|-3\le x\le 8,x\ne 5\}$

Range of the function -  $\left\{y\right|-1\le y\le 2, y\ne 0\}$

Step 2. To Find

Draw the graph of a function.

Step 3. Explanation

We can draw the graph -

(5,0) can not be a point on the graph, That is why this point is represent by a hole on the graph above.