@ 0 6% 1:04 AM a webwork.ccny.cuny.edu #811 Ultra 4.3 Derivatives and Shape Prob

Question

@ 0 6% 1:04 AM a webwork.ccny.cuny.edu #811 Ultra 4.3 Derivatives and Shape Problem 8 Previous Problem List Next (1 point) Below is the graph of the derivative f'(x) of a function defined on the interval (0,8). You can click on the graph to see a larger version in a separate window. Refer to the graph to answer each of the following questions. For part (A), use interval notation to report your answer. (If needed, you use U for the union symbol.) (A) For what values of x in (0,8) is f(x) concave down? (If the function is not concave down anywhere, enter "0" without the quotation marks.) Answer (B) Find all values of x in (0,8) is where f(x) has an inflection point, and list them (separated by commas) in the box below. (If there are no inflection points, enter -1000.) Inflection Points:

Explanation / Answer

a)

Cancave down is the region where the curve goes up to down and its direction.

The first region is 2.5 to 4.5

Second region is 5.5 to 8

b)

Inflation points are the points where curve changes its direction

So points are

First point is       1

second point is   4

third point is      5

fourth point is    6

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