1. Lesson 27: How do we get a Hole in the graph?

2. What is a hole in the Graph? Vertical Asymptotes occur where the ▫E▫Example: Determine the domain of the below: ▫S▫So 5 is NOT a zero, is there a VA? LLet’s use the Calc  Table to find the limit:  Limit = 0.4, not plus or minus infinity BBUT f(5) is undefined TThis is an OPEN POINT or Hole in the graph at (5,0.4)

3. Example: Estimate VA’s and Holes in graph for the below function

4. General Rule: VA’s and Holes in Graph Shared (cancelled) factors in the denominator produce an open point (hole) Uncancelled factors in the denominator produce VA’s Draw the graph for the previous example using the table, VA’s and open point

5. Example:

6. CFU To find the y-coord, you can also plug in the x- value into the remaining portion of the function

7. If time, Let’s graph the HW Example