Find the interval where the function is increasing and the interval where it is

Question

Find the interval where the function is increasing and the interval where it is decreasing. (If you need to enter - or , type -INFINITY or INFINITY. If there is no interval where the function is increasing/decreasing, enter NONE in those blanks.)

(  ,  ) (increasing)
(  ,  ) (decreasing)

Find the intervals where the function is increasing and the intervals where it is decreasing. (If you need to enter - or , type -INFINITY or INFINITY. If there is no interval where the function is increasing/decreasing, enter NONE in those blanks.)

(  ,  ) (  ,  ) (increasing)
(  ,  ) (  ,  ) (decreasing)

Explanation / Answer

Here we find f'(x) and thus check where it is negative and where is it positive to find the limit. Alternatively we can also plot the graphs of the following functions to get the intervals

1) decreasing (- infinity,-7/10) increasing ( -7/10,infinity)

2) decreasing (-infinity,-5) U ( 0,5) increasing: (-5,0) U ( 5, infinity)

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