At least one of the answers above is NOT comect (1 point) The figure below gives

Question

At least one of the answers above is NOT comect (1 point) The figure below gives the behavior of the derivative of g(x) on-2 xS2. Graph of g'()(not gx) Click on the graph to get a larger version) Sketch a graph of gx) and use your sketch to answer the following questions. A Where does the graph of g(x) have inflection points? 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 [-2,21? minimum at x -2 maximum at x = 1 values for g(0)? 8(0) is in infinity Enter your answer as an interval, or union of intervals, giving the possible values. Thus if you know 4

Explanation / Answer

A. g(x) will have inflection point at x=1 because here tangent of graph of g'(x) is horizontal.

B. minimum at x = -2

maximum at x = 2

because here g'(x) is positive for given interval, therefore g(x) is strictly increasing in -2<x<2

C. if g(-2)=2 then g(0) lies in (2, infinity)

and g(2) > g(0) because g(x) is strictly increasing in (0,2).

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