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For each function fgraphed in Exercises 65-68, determine the values of xat which ffails to be continuous and/or differentiable. At such points, determine any left or right continuity or differentiability. Sketch secant lines supporting your answers.

Short Answer

Expert verified

The function is not continuous at x=-1and not differentiable at x=-1,1and the secant lines is

Step by step solution

01

Step 1. Given information

Given the graph

02

See the point at which there is a sharp point

From the graph, the function is having a sharp point at x=-1and it is not differentiable at x=-1,1

The secant lines are

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Every morning Linda takes a thirty-minute jog in Central Park. Suppose her distance s in feet from the oak tree on the north side of the park tminutes after she begins her jog is given by the function s(t)shown that follows at the left, and suppose she jogs on a straight path leading into the park from the oak tree.

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