What are the largest open interval on which f is increasing and the largest open interval on which f is decreasing?

This is for a MAT 271 community college course. I can't figure this out please help.

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1 Answer
Jul 12, 2018

The largest open interval of increasing are # (4,5), (6,7)#. The largest open interval of decreasing is # (-3,2)#

Explanation:

The intervals of increasing are

#x in [4,5] uu [6,7]#

The intervals of decreasing are

#x in [-3,2) uu (2,4]uu[5,6]#

The largest open interval of increasing are # (4,5), (6,7)#

The largest open interval of decreasing is # (-3,2)#