By hand solution needed for D and E part correctly in 30 minutes and get the thumbs up please show neat and clean work for itVerify your answer for both methods 3.1 Average vs Instantaneous Rate of Change (#limitscontinuity, #differentiation)Consider the piecewise functionf(x) =2x + 5x≤-2sin(x) +1 -2 221x12(a) Graph f.(b) Find the average rate of change of f from x = −3 to x = 1 and x = 0 to x = 1.Add the corresponding secant lines to your graph.(c) Find the instantaneous rate of change of f at x = 1 and add the correspondingtangent line to your graph.(d) Where is f discontinuous?(e) Where is f not differentiable?

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3.1 Average vs Instantaneous Rate of Change (#limitscontinuity, #differentiation) Consider the piecewise function f(x) = 2x + 5 x ≤-2 sin(x) +1 -2 2 2 1-1/ x 2 (a) Graph f. (b) Find the average rate of change of f from x = -3 to x = 1 and x = 0 to x = 1. Add the corresponding secant lines to your graph. (c) Find the instantaneous rate of change of f at x = 1 and add the corresponding tangent line to your graph. (d) Where is f discontinuous? (e) Where is f not differentiable?