Read the problem and post your answers to the discussion forum. Recognize and verify where a function is non-differentia

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Read The Problem And Post Your Answers To The Discussion Forum Recognize And Verify Where A Function Is Non Differentia 1 (136.21 KiB) Viewed 41 times

Read the problem and post your answers to the discussion forum. Recognize and verify where a function is non-differentiable. A piecewise function f is defined by y=-x+5 for x≤2 and y=0.5x+2 for x>2. The graph of f consists of two line segments that form a vertex, or corner, at (2, 3). a) From the graph, what is the slope as x approaches 2 from the left? What is the slope as x approaches 2 from the right? What does this tell you about the derivative at x = 2? YA 8 6 2 -4 20 2 4 6 8 b) Use the first principles definition to prove that the derivative f'(2) does not exist. c) Graph the slope of the tangent for each x on the function. How does this graph support your results in parts a) and b)? x