The graph of a function is given a Determine the intervals o

The graph of a function is given. (a) Determine the interval(s) on which the function is increasing. (Enter your answer using interval notation.) (b) Determine the interval( on which the function is decreasing. (Enter your answer using interval notation.)

Solution

increasing is where the graph goes upward when we view it from left to right...

So, answers :

inc : (0 , 3)
dec : [-2 , 0) U (3 , 5]
IF this doesnt work, try (-2,0) U (3,5)

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Inc : (-2 , 1) U (2 , 4)

DEc : [-3 , -2) U (1 , 2) U (4 , 5]

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Inc : (1 . 3)

Dec : [0 , 1) U (3 , 4]

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Local max : 0

Local max : 10

Local min : -6

Local min : 4

Inc : (-6 , 0) U (4 ,10)

Dec : (-inf , -6) U (0 , 4) U (10 , inf)

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Local max : -4

Local max : 4

Local min : 0

Local min : 6

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Inc : (-inf , -4) U (0 , 4) U (6 , inf)

Dec : (-4, 0) U (4 , 6)

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