1. Continuous & Types of Discontinuity
Math 3 Unit 7
Continuous & Types of Discontinuity

2. Compare and Contrast

4. What is the difference between the graphs in the first group and the second?

5. Continuous
A Function is CONTINUOUS if there are no holes, breaks or jumps. This graph is “unbroken”

6. Discontinuity
Discontinuities are x-values that create holes, jumps, asymptotes or breaks in graphs.
TYPES:
Holes (also known as removable)
Jumps
Asymptotes

7. Identify Discontinuity

8. Identify Discontinuity

9. Identify Discontinuity

10. Identify Discontinuity

11. Identify Discontinuity

12. Reasons for Discontinuity
Zero in the bottom of a fraction
(Remember holes are what crosses out, and Vertical Asymptotes are what are left in the bottom!)
Pieces in a Piecewise function not matching

13. Type 1

14. Type 1

15. Type 2

16. Type 2

17. Type 2