3.1 Average vs Instantaneous Rate of Change (#limitscontinuity, #differentiation) Consider the piecewise function f(x) = 2x + 5 x < -2 sin(x) +1 -2 < x < 2 x = 2 x > 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?

3.1 Average vs Instantaneous Rate of Change (#limitscontinuity, #differentiation) Consider the piecewise function f(x) = 2x + 5 x < -2 sin(x) +1 -2 < x < 2 x = 2 x > 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?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter8: Graphing Quadratic Functions

Section: Chapter Questions

Problem 17CT

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