Question

1. identify where the following graph is positive or negative

if it is positive or negative on more than one interval us u in between intervals
positive: □ u □
negative: □ u □

Explanation:

Step1: Identify positive intervals

A graph is positive where it lies above the x-axis ($y>0$).
From the graph:

• The curve is above the x-axis when $x$ is between $-8$ and $-4$
• The curve is above the x-axis when $x$ is greater than $5$

Expressed in interval notation: $(-8, -4) \cup (5, \infty)$

Step2: Identify negative intervals

A graph is negative where it lies below the x-axis ($y<0$).
From the graph:

• The curve is below the x-axis when $x$ is less than $-8$
• The curve is below the x-axis when $x$ is between $-4$ and $5$

Expressed in interval notation: $(-\infty, -8) \cup (-4, 5)$

Answer:

Positive: $(-8, -4) \cup (5, \infty)$
Negative: $(-\infty, -8) \cup (-4, 5)$