(4,4)M-422-4(-4,-4)481012(8,-4)(12,-4)Graph of fThe figure shows the graph of a piecewise-linearfunction f. For −4≤x≤12, the function g isxdefined by g(x) = √ƒ (t)dt ..Find the value of g(6).Find the value of g'(6). |

Answered: Image /qna-images/answer/b17c1eec-13f8-4ea2-833b-9707e47c1265.jpg

Answered: (4,4) M -4 2 2 -4 (-4,-4) 4 8 10 12…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.2: Exponential Functions

Problem 28E

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he point (2,-20) is on the graph of y = f(x). a) A point on the graph of y = g(x), where g(x) = f(-x) is (-2,-20) b) A point on the graph of y = g(x), where g(x) = f(x) is c) A point on the graph of y = g(x), where g(x) = 9f(x) is (2,-180) d) A point on the graph of y = g(x), where g(x) = f(x) + 6 is (-4,-20) X OB
f(x) = 5x³ – x² + 6x Step 2 of 2: Evaluate f "(-6), f "(4), and f "(3), if they exist. If they do not exist, select "Does Not Exist". Answer Keyboard Previous s Selecting a radio button will replace the entered answer value(s) with the radio button value. If the radio button is not selected, the entered answer is used. f"(-6) = Of"(-6) Does Not Exist f"(4) = Of"(4) Does Not Exist f"(3) : Of"(3) Does Not Exist
Solve the problem. 2) The graph of y = f(x) in the accompanying figure is made of line segments joined end to end. Graph the derivative of f. (-3,2) +++++ (-5,0) (3,5) 4++ (0, -1) (6,5) ++ X ←
a) Select a point on the graph of y = −x² + 2x³ + 13x² − 14x − 24, where the roller coaster is going up and evaluate The First Derivative i. ii. b) Select a point on the graph of y = -x + 2x³ + 13x² − 14x − 24, where the roller coaster is down and evaluate The First derivative The Second Derivative ii. The Second Derivative c) At the highest, or lowest point of the coaster, the first derivative is zero. Does that mean that the second derivative at that point is zero? Explain using correct mathematical language and diagrams/graphs, and examples.

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(4,4) M -4 2 2 -4 (-4,-4) 4 8 10 12 (8,-4) (12,-4) Graph of f The figure shows the graph of a piecewise-linear function f. For −4≤x≤12, the function g is x defined by g(x) = √ƒ (t)dt . . Find the value of g(6). Find the value of g'(6). |