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?

Short 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-by-step solution

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.