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: $square \cup \square$
negative: $square$

Explanation:

Step1: Identify x-intercepts

The graph crosses the x-axis at $x=-4$ and $x=-2$.

Step2: Find positive intervals

The parabola opens upward, so it is above the x-axis (positive) when $x < -4$ or $x > -2$. In interval notation, this is $(-\infty, -4) \cup (-2, \infty)$.

Step3: Find negative interval

The parabola is below the x-axis (negative) between the two intercepts, so when $-4 < x < -2$. In interval notation, this is $(-4, -2)$.

Answer:

Positive: $(-\infty, -4) \cup (-2, \infty)$
Negative: $(-4, -2)$