Question

1. use the graph to answer the questions below:

• what are the x-intercepts?
• what best describes the interval from (-8, -4)?

a. it’s increasing b. it’s positive
c. it’s decreasing d. it’s negative

• what best describes the interval from (2, 6)?

a. it’s increasing b. it’s positive
c. it’s decreasing d. it’s negative

• what best describes the interval from (-2, 2)?

a. it’s increasing b. it’s positive
c. it’s decreasing d. it’s negative

Explanation:

Step1: Identify x-intercepts

X-intercepts are where the graph crosses the x-axis (y=0). From the graph, these are at $x=-8$, $x=0$, and $x=8$.

Step2: Analyze interval (-8, -4)

Check if the graph is above/below x-axis or increasing/decreasing. On $(-8, -4)$, the graph is above the x-axis, so it is positive.

Step3: Analyze interval (2, 6)

Check if the graph is above/below x-axis or increasing/decreasing. On $(2, 6)$, the graph is above the x-axis, so it is positive.

Step4: Analyze interval (-2, 2)

Check if the graph is above/below x-axis or increasing/decreasing. On $(-2, 2)$, the graph is above the x-axis, so it is positive.

Answer:

1. The x-intercepts are $x=-8$, $x=0$, and $x=8$.
2. For interval $(-8, -4)$: B. it's positive
3. For interval $(2, 6)$: B. it's positive
4. For interval $(-2, 2)$: B. it's positive