2. (no calculator) %23 -2: -3+ Let F(x) = |, f(t)dt. The graph of f on the interval [-3, 4] consists of 2 line segments and a semicircle, as shown in the graph above. (a) Find F(0), F'(0), and F(4). (b) Find all relative minimum values of F(x) on the interval [-3, 4]. Justify your answer. (c) Find the x-coordinates of the inflection points of F(x) on the interval [-3, 4]. Justify your answer. (d) Write the equation of the line tangent to the point where x = 2. 2. (calculator) Let f be a function defined by f(x) (a) Find, if any, the x-coordinates of all relative minimum values of f(x). (b) Find the average value of f(x) for -1 < x < 1. (c) Find, if any, the x-coordinates of all inflection points of f(x). ex + e-x

2. (no calculator) %23 -2: -3+ Let F(x) = |, f(t)dt. The graph of f on the interval [-3, 4] consists of 2 line segments and a semicircle, as shown in the graph above. (a) Find F(0), F'(0), and F(4). (b) Find all relative minimum values of F(x) on the interval [-3, 4]. Justify your answer. (c) Find the x-coordinates of the inflection points of F(x) on the interval [-3, 4]. Justify your answer. (d) Write the equation of the line tangent to the point where x = 2. 2. (calculator) Let f be a function defined by f(x) (a) Find, if any, the x-coordinates of all relative minimum values of f(x). (b) Find the average value of f(x) for -1 < x < 1. (c) Find, if any, the x-coordinates of all inflection points of f(x). ex + e-x

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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