1. 5-Minute Check Lesson 3-5
Find the inverse of y = - 3x + 4 Then graph both on the same coordinate axes.
What is the relationship between a graph of a function and it’s inverse?
Determine the inverse of Then graph both on the same coordinate axes.
Is the inverse a function? How can you tell that the inverse was NOT going to be a function before you found it?
What is the algebraic test to see if two given functions are inverses of each other?

2. 3-5 Continuity and End-Behavior Models
LESSON ESSENTIAL QUESTIONS:
How do you determine if a function is continuous or discontinuous?
What are the 3 types of discontinuity?
How do you determine the end behavior of a function?

3. CONTINUITY
What does it mean for a graph to be “continuous” in your own words? Can you give an example of a function that is NOT continuous?

5. 3 TYPES OF DISCONTINUITY
Infinite – with asymptotes
Jump - sometimes with piecewise functions
Point - holes

6. Example 1

7. Example 2

8. Example 3

9. Jump Discontinuity

10. What is end behavior and how to determine end behavior?
End Behavior - what happens to the y-values as the x- values become increasingly larger and vice versa, increasingly smaller?

11. Summary
How do you determine if a function is continuous or discontinuous?
What are the 3 types of discontinuity?
How do you determine the end behavior of a function?