Mr. Vizza's Class

Sketching the Graphs of Functions that Have Holes


Steps

Examples Done by Mr. Vizza

Problems that You Should Practice

Additional Supportive Links


Steps

Step 1.  Calculate the location of the hole.

Step 2.  Factor as much of the expression in the function as possible.   Divide out the terms that would reduce or cancel.

Step 3.  Simplify the remaining part of the expression.

Step 4.  Graph the ordered pair that represents the location of the hole with an open dot.

Step 5.  Graph the remaining expression from step 3.

wpe1.jpg (2600 bytes)


Examples Done by Mr. Vizza

        Directions:   Please sketch a graph of the following function.

 

Step 1

 

This function has a hole at (-5,-46.03).

This example was already completed in a previous part of this review.  Click to see  a  line by line working of this problem.

Step 2

 

Step 3

wpe1.jpg (2600 bytes)

Steps 4 & 5

wpeA.jpg (17175 bytes) wpe1.jpg (2600 bytes)

 

wpe9.jpg (645 bytes)


Problems that You Should Practice

            Directions:  Please sketch a graph of the following functions.

wpe1.jpg (2600 bytes)

 

Additional Supportive Links

 

 

©2004 Thomas Vizza