Use the graph of g in the figure to do the following. Find the values of x in (-

Question

Use the graph of g in the figure to do the following. Find the values of x in (- 3,5) at which g is not continuous. Find the values of x in (- 3,5) at which g is not differentiable. Sketch a graph of g. The values of x in the interval (- 3,5) at which the function is not continuous are x =. (Use a comma to separate answers as needed.) The values of x in the interval (- 3,5) at which the function is not differentiable are x =. (Use a comma to separate answers as needed.) Choose the correct graph below.

Explanation / Answer

a. g is not continuous at x = 3 [g is not defined at x = 3]

b. g is not differentiable at x = 1, 3 [ g is discontinuous at x = 3 and g is pointed at x = 1]

c. correct graph is option C. [g' is positive till x=-1 and then gets negative till x=1,it is discontinuous at x=1,3]

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