FRQ 1 A graphing calculator is required for the following problem. 2- (2, 1) 14 O. -2 Graph of f" The derivative of a function_f is defined by f '(x) = { ' - 2 In (2 -5), –5 < x<2 where the graph of g is a g(x), 2

FRQ 1 A graphing calculator is required for the following problem. 2- (2, 1) 14 O. -2 Graph of f" The derivative of a function_f is defined by f '(x) = { ' - 2 In (2 -5), –5 < x<2 where the graph of g is a g(x), 2

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 47RE

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

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Please solve c and d

9:49 AM Tue May 11
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2 of 3
FRQ 1
A graphing calculator is required for the following problem.
2-
(2, 1)
1+
1
3
4
-2+
Graph of f'
(1– 2 In (2-), -5 <xs2
The derivative of a function f is defined by f '(x) =
where the graph of g is a
g(x), 2 <xs5'
line segment. The graph of the continuous function f' is shown in the figure above. Let f(3) = 4.
a) Find the x-coordinate of each critical point of f and classify each as the location of a relative
minimum, a relative maximum, or neither a minimum nor a maximum. Justify your answer.
b) Determine the absolute maximum value of f on the closed interval -5 <x< 5. Justify your answer.
c) Find the x-coordinates of all points of inflection of the graph of f. Justify your answer.
d) Determine the average rate of change of f' over the interval –3 < x< 3. Does the mean value
theorem guarantee a value of c for -3 <c < 3 such that f" is equal to this average rate of
change? Justify your answer.

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