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Name: Date: PRE-QUIZ: CONTINUITY Calculus AIM: Given the definition of continuity, WWBAT identify points of discontinuity given a function in algebraic or graphical form and

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Name: Date: PRE-QUIZ: CONTINUITY Calculus AIM: Given the definition of continuity, WWBAT identify points of discontinuity given a function in algebraic or graphical form and state the type of discontinuity. Directions: Answer the following in your notebook. 1) What are the three conditions of continuity? 2) Circle the graph/s that are continuous for all real numbers. State why the other graphs are not continuous by using the definition of continuity and naming the type of discontinuity. (A) (C) LL- '11 fx 11 3) Let 1 , x Which of the following statements is correct? Show work to support your answer. (A )f (x)is continuous at 1 since f (x)is defined at x = 1. (B)f (x)is continuous at 1 since lim () fx x-, exists. (C)f (x)is not continuous at 1 since f (x)is not defined at x = 1. Dif (x)is not continuous at 1 since lim ( ) x_ does not exist (E)f (x)is not continuous at 1 since lim ( ) (1)

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