The figure below gives the behavior of the derivative of a function g(x) on -2 ≤ x ≤ 2. Notice that no scale is given on the y axis on the graph. (a) At what x-values does the graph of g(x) have inflection points? x = Graph of g'(x) (Click on the graph to get a larger version.) (Enter your answer as a comma-separated list of values, or enter none if there are none.) (b) What x-values give the global maxima and minima of g on [−2,2]? minimum at x = maximum at x = (c) If g(-2) = −5, what are possible values for g(0)? 9(0) is in [-5,-5] to indicate a single point). (Enter your answer as an interval, or union of intervals, giving the possible values. Thus if you know −9 < g(0) ≤ −6, enter (-9,-6]. Enter infinity for ∞, the interval (d) How is the value of g(2) related to the value of g(0)? 9(2) g(0) (Enter = for equality, < for less than, or > greater than)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 2E
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The figure below gives the behavior of the derivative of a function g(x) on -2 ≤ x ≤ 2. Notice that no scale is given on the y axis on the graph.
(a) At what x-values does the graph of g(x) have inflection points?
x =
Graph of g'(x)
(Click on the graph to get a larger version.)
(Enter your answer as a comma-separated list of values, or enter none if there are none.)
(b) What x-values give the global maxima and minima of g on [−2,2]?
minimum at x =
maximum at x =
(c) If g(-2) = −5, what are possible values for g(0)?
9(0) is in
[-5,-5] to indicate a single point).
(Enter your answer as an interval, or union of intervals, giving the possible values. Thus if you know −9 < g(0) ≤ −6, enter (-9,-6]. Enter infinity for ∞, the interval
(d) How is the value of g(2) related to the value of g(0)?
9(2)
g(0) (Enter = for equality, < for less than, or > greater than)
Transcribed Image Text:The figure below gives the behavior of the derivative of a function g(x) on -2 ≤ x ≤ 2. Notice that no scale is given on the y axis on the graph. (a) At what x-values does the graph of g(x) have inflection points? x = Graph of g'(x) (Click on the graph to get a larger version.) (Enter your answer as a comma-separated list of values, or enter none if there are none.) (b) What x-values give the global maxima and minima of g on [−2,2]? minimum at x = maximum at x = (c) If g(-2) = −5, what are possible values for g(0)? 9(0) is in [-5,-5] to indicate a single point). (Enter your answer as an interval, or union of intervals, giving the possible values. Thus if you know −9 < g(0) ≤ −6, enter (-9,-6]. Enter infinity for ∞, the interval (d) How is the value of g(2) related to the value of g(0)? 9(2) g(0) (Enter = for equality, < for less than, or > greater than)
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