Question

using the following graph, drag all that apply to the appropriate column: row1 interval of increase 1 -1 0 1 2 3 4 5 interval of decrease -1 -2 positive interval -3 negative interval -4

Explanation:

Step1: Identify interval of increase

The function is increasing when the slope is positive. Looking at the graph, it is increasing from $x = - 4$ to $x=2$. So the interval of increase is $(-4,2)$.

Step2: Identify interval of decrease

The function is decreasing when the slope is negative. From the graph, it is decreasing from $x = 2$ to $x = 5$. So the interval of decrease is $(2,5)$.

Step3: Identify positive interval

The function is positive when $y>0$. From the graph, $y>0$ when $1

Step4: Identify negative interval

The function is negative when $y < 0$. From the graph, $y<0$ when $-4

Answer:

Interval of Increase: $(-4,2)$
Interval of Decrease: $(2,5)$
Positive Interval: $(1,3)$
Negative Interval: $(-4,1)\cup(3,5)$