Winter 2018 Name: Math 148: Final Prep 3 50 minutes Where appropriate, show your

Question

Winter 2018 Name: Math 148: Final Prep 3 50 minutes Where appropriate, show your work to receive credit for your solutions. Good luck! 1. Use the graph of y f(x) in the figure below to identify the following: a. The intervals on which f'(a) o. c. The intervals on which f(x) is increasing d. The intervals on which f(x) is decreasing e. The -coordinate(s) of the point(s) where rx) has a local maximum. f. The x -coordinate(s) of the point(s) where f(x) has a local minimum. 8 The interval(ls) on which " 0. i. The interval(s) on which the graph of f(x) is concave upward. j. The interval(s) on which the graph of f(x) is concave downward. k. The x-coordinate (s) of the inflection point(s). L The intervals on which f(x) 0. m. The intervals on which f(x)> o.

Explanation / Answer

a)

f'(x)<0

f'(x) is negative when function is decresing then slope f'(x) is decresing

b to d and f to g

b)

f'(x)>0

f'(x) is positve when function is increasing then slope f'(x) is positive  

a to b, d to f and g to h

3)

f(x) is increasing

f'(x) is negative when function is decresing then slope f'(x) is decresing

b to d and f to g

4)

f(x) is decreasing

f'(x) is positve when function is increasing then slope f'(x) is positive  

a to b, d to f and g to h

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