Question

#25State wether each labeled point identifies a local minimum, a local maximum, or neither. Identify intervals on which the function is decreasing and increasing.

Answer 1

According to the graph:

There is a local minimum at (2,2)

Local maximum at (-1,4) and (5,5)

The function is decreasing in the interval:

`{}[-1,2]\text{ and \lbrack5,}\infty]`

The function is increasing in the interval:

`[-\infty,-1]\text{ and \lbrack2,5\rbrack}`

Answer:

Local minimum: (2,2)

Local maximum: (-1,4) and (5,5)

Decreasing: [-1, 2] and [5, ∞]

Increasing: [ - ∞, - 1] and [2, 5]