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HW_2_5

# HW_2_5 - Student Name Sections 2.5(Due Tuesday 09/06...

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Student Name: Sections 2.5 (Due: Tuesday, 09/06) Description : This homework emphasizes the graphical and mathematical definitions of continuity. It is important to know when the function is discontinuous and how to apply the Intermediate Value Theorem. Show all work to get full credit. 1) If f is continuous on (- , ), what can you with certainty say about its graph? (Select all that apply.) The graph of f has a hole. The graph of f has a jump. The graph of f has a vertical asymptote. None of these. 2) From the graph of f , state the numbers at which f is discontinuous and determine whether f is continuous from the right, or from the left, or neither. x = (smallest value) continuous from the right continuous from the left neither x = continuous from the right continuous from the left neither x = continuous from the right continuous from the left neither x = (largest value) continuous from the right continuous from the left neither

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Student Name: 3) From the graph of g , state the intervals on which g is continuous. (Select all that apply.) (-
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