# (Solved): Use the figure below to answer the following SIX questions.Consider the function represented by gr ...

Use the figure below to answer the following SIX questions.Consider the function represented by graph (a). Which of the following statements describe this function? a. Its derivative changes sign once b. Its second derivative changes sign twice c. For

x<0

, the derivative of this function is positive d. None of the above Consider the function represented by graph (b). Which of the following statements describe this function? a. Its second derivative changes sign at least 2 times b. Its derivative approaches 0 as

x->\infty

c. Its derivative is negative at

x=0

d. None of the above Consider the function represented by graph (c). How many times would the derivative of this function change signs? a. never b. once c. twice d. three times e. can not be determined Activate Wind Go to Settings to a Assume that the figure on the previous page represents the graphs of

f(x),f^(')(x)

, and

f^('')(x)

. Using your answers to the previous questions as a guide, identify which function , or

{:f^('')(x))

corresponds to each graph (

a,b

or

c

) in each of the following. HINT: Consider where the graphs are positive and negative, where they are increasing or decreasing, and where they are zero. Also consider the relative location of maximums and minimums and where the slopes are increasing and decreasing to help you determine your answer. Graph (a) represents: a.

f(x)

b.

f^(')(x)

c.

f^('')(x)

d. Not enough information to determine Graph (b) represents: a.

f(x)

b.

f^(')(x)

c.

f^('')(x)

d. Not enough information to determine Graph (c) represents: a.

f(x)

b.

f^(')(x)

c.

f^('')(x)

d. Not enough information to determine

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