5-MINUTE CHECK LESSON 3-5 1. Find the inverse of y = – 3x +

5-MINUTE CHECK LESSON 3-5 1. Find the inverse of y - 3x 4 Then graph both on the same coordinate axes. 2. What is the relationship between a graph of a function and it’s inverse? 3. Determine the inverse of . Then graph both on the same coordinate axes. 4. Is the inverse a function? How can you tell that the inverse was NOT going to be a function before you found it? 5. What is the algebraic test to see if two given functions are inverses of each other?

3-5 CONTINUITY AND END-BEHAVIOR MODELS LESSON ESSENTIAL QUESTIONS: 1. How do you determine if a function is continuous or discontinuous? 2. What are the 3 types of discontinuity? 3. How do you determine the end behavior of a function?

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?

3 TYPES OF DISCONTINUITY 1.Infinite – with asymptotes 2.Jump - sometimes with piecewise functions 3.Point - holes TESTING FOR DISCONTINUTY AT A POINT 1.Check to see if the function is defined at the point by substituting. 2.Check the graph to see if it approaches the same value from left and right

END BEHAVIOR MODEL For a polynomial, the end behavior model (EBM) is the term with the largest power of x. Example: Determine the EBM of Example: Determine the EBM of

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