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Question: tmobile 909 pm a activecalculusorg 6 let f be a...

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T-Mobile 9:09 PM a activecalculus.org 6. Let f be a function with the following properties: f is differentiable at every value of r (that is, f has a derivative at every point), f(-2) 1, and f(-2)2, f(-1)--1. f(0)- 0, f (1) 1, and f (2) 2. a. On the axes provided at left in Figure 1.4.3, sketch a possible graph of y- f(x). Explain why your graph meets the stated criteria Conjecture a formula for the function y-f(x). Use the limit definition of the derivative to determine the corresponding formula for y-f(z) Discuss both graphical and algebraic evidence for whether or not your conjecture is correct. b. -3 Figure 1.4.3. Axes for plotting y- f(x) in (a) and y-f(z) in (b)
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