f(x) = 2x^3 - 3x^2Answer the following sub-part:(d) Evaluate L(2.01) using your equation from part c. (e) Evaluate f (2.01). Why is this value so similar to L(2.01)?(f) Is L(2.01) an overestimate or an underestimate of f (2.01)? Explain how you would be able to tell without determining the value of f (2.01). Tangent Line ApproximationAP Calculus ABTangent Line Approximation DiscoveryLet /(x) = 2x - 3x2.(a) Graph the function for x € [-1,5](b) Compute f (2) and f (2).(c) Write L(x), the equation for the tangent line inslope-intercept form for x = 2. Sketch your equationon the graph.(d) Evaluate L(2.01) using your equation from part (c)(e) Evaluate f (2.01). Why is this value so similar to L(2.01)?(f) is L(2.01) an overestimate or an underestimate of f(2.01)? Explain how you would be able to tell withoutdetermining the value of f (2.01).

Answered: Image /qna-images/answer/164566b8-404b-4263-b8b0-caef905abbed.jpg

Let /(x) = 2x- 3x2. (a) Graph the function for x E [-1,5] %3D (b) Compute f (2) and f (2). (c) Write L(x), the equation for the tangent line in slope-intercept form for x = 2. Sketch your equation on the graph. (d) Evaluate L(2.01) using your equation from part (c)

Let /(x) = 2x- 3x2. (a) Graph the function for x E [-1,5] %3D (b) Compute f (2) and f (2). (c) Write L(x), the equation for the tangent line in slope-intercept form for x = 2. Sketch your equation on the graph. (d) Evaluate L(2.01) using your equation from part (c)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.6: Optimization

Problem 11E: Maximum Sales Growth This is a continuation of Exercise 10. In this exercise, we determine how the...

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