Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

0 swyk max/mins, intervals of increase and decrease select a symbol fro…

Question

0 swyk max/mins, intervals of increase and decrease
select a symbol from the dropdown menu (<, >, =) that correctly indicates the relationship between the first and second quantity
the number of relative minimum points.
the number of relative maximum points.
the number of intervals where the function is increasing.
the number of intervals where the function is decreasing.

Explanation:

Step1: Count relative min - points

By observing the graph, the number of relative minimum points is 2.

Step2: Count relative max - points

By observing the graph, the number of relative maximum points is 1. So, the number of relative minimum points > the number of relative maximum points.

Step3: Count increasing intervals

The function is increasing when the slope is positive. There are 3 intervals where the function is increasing.

Step4: Count decreasing intervals

The function is decreasing when the slope is negative. There are 2 intervals where the function is decreasing. So, the number of intervals where the function is increasing > the number of intervals where the function is decreasing.

Answer:

The number of relative minimum points > The number of relative maximum points
The number of intervals where the function is increasing > The number of intervals where the function is decreasing