Question

determine all extreme values and intervals of increase. note: both axes count by 2s. local maximum: __________ local minimum: ________ increasing: ________ decreasing: __________

Explanation:

Step1: Identify local max

A local maximum is a point where the function changes from increasing to decreasing. By observing the graph, there is no such point where the function goes from increasing to decreasing, so there is no local maximum.
No local - max

Step2: Identify local min

A local minimum is a point where the function changes from decreasing to increasing. By observing the graph, there is no such point where the function goes from decreasing to increasing, so there is no local minimum.
No local - min

Step3: Find increasing intervals

The function is increasing when the slope of the tangent line is positive. Looking at the graph, the function is not increasing on any interval.
None

Step4: Find decreasing intervals

The function is decreasing when the slope of the tangent line is negative. The function is decreasing for all real - valued x in its domain.
$(-\infty,\infty)$

Answer:

Local Maximum: None
Local Minimum: None
Increasing: None
Decreasing: $(-\infty,\infty)$