The figure below gives the behavior of the derivative of g(x) on -2 < x < 2. Graph of d (x) (not g(x)) (Click on the graph to get a larger version.) Sketch a graph of g(x) and use your sketch to answer the following questions. A. Where does the graph of g(x) have inflection points? x = Enter your answer as a comma-separated list of values, or enter none if there are none. B. Where are the global maxima and minima of g on [-2, 2]? minimum at x = maximum at x = C. If g(-2) = 1, what are possible values for g(0)? g(0) is in (Enter your answer as an interval, or union of intervals, giving the possible values. Thus if you know -5 < g(0) < 0, enter (-5,0]. Enter infinity for o, the interval [5,5] to indicate a single point). How is the value of g(2) related to the value of g(0)? 9(2) 9(0)

The figure below gives the behavior of the derivative of g(x) on -2 < x < 2. Graph of d (x) (not g(x)) (Click on the graph to get a larger version.) Sketch a graph of g(x) and use your sketch to answer the following questions. A. Where does the graph of g(x) have inflection points? x = Enter your answer as a comma-separated list of values, or enter none if there are none. B. Where are the global maxima and minima of g on [-2, 2]? minimum at x = maximum at x = C. If g(-2) = 1, what are possible values for g(0)? g(0) is in (Enter your answer as an interval, or union of intervals, giving the possible values. Thus if you know -5 < g(0) < 0, enter (-5,0]. Enter infinity for o, the interval [5,5] to indicate a single point). How is the value of g(2) related to the value of g(0)? 9(2) 9(0)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 36E

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Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

Question

When
The figure below gives the behavior of the derivative of g(x) on –2 < ¤ < 2.
Graph of g (2) (not g(x))
(Click on the graph to get a larger version,)
Sketch a graph of g(x) and use your sketch to answer the following questions.
A. Where does the graph of g(x) have inflection points?
x =
Enter your answer as a comma-separated list of values, or enter none if there are none.
B. Where are the global maxima and minima of g on [-2,2]?
minimum at x =
maximum at x =
C. If g(-2) = 1, what are possible values for g(0)?
g(0) is in
(Enter your answer as an interval, or union of intervals, giving the possible values. Thus if you know -5 < g(0) < 0,
enter (-5,0]. Enter infinity for o, the interval [5,5] to indicate a single point).
How is the value of g(2) related
the value of g(0)?
2)
% (4/10)
g(2)
g(0)

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