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Given the Graph Of y=f(x)y = f ^ { \prime } ( x )

Question 19

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Given the graph of y=f(x)y = f ^ { \prime } ( x ) , answer the questions that follow.  Given the graph of  y = f ^ { \prime } ( x )  , answer the questions that follow.   (a) Find all values of x at which (i) f is increasing.(iv)  f ^ { \prime \prime } ( x ) < 0  (vii)  f ^ { \prime } \text { is decreasing. }  (ii) f is decreasing.(v)  f ^ { \prime \prime } ( x ) = 0  (viii) f has a local maximum.(iii)  f ^ { \prime \prime } ( x ) > 0  (vi)  f ^ { \prime } \text { is increasing. }  (ix) f has a local minimum.(b) Sketch a graph which could represent y = f (x). (a) Find all values of x at which
(i) f is increasing.(iv) f(x)<0f ^ { \prime \prime } ( x ) < 0 (vii) f is decreasing. f ^ { \prime } \text { is decreasing. } (ii) f is decreasing.(v) f(x)=0f ^ { \prime \prime } ( x ) = 0 (viii) f has a local maximum.(iii) f(x)>0f ^ { \prime \prime } ( x ) > 0 (vi) f is increasing. f ^ { \prime } \text { is increasing. } (ix) f has a local minimum.(b) Sketch a graph which could represent y = f (x).

Correct Answer:

verifed

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(a)
(i)
f is increasing on [x0, x1].
(ii)
...

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