Question

use the graph to answer the question. find the interval(s) over which the function is decreasing. (1 point) $(-infty, -3)$ $(3, infty)$ $(0, 3) cup (3, infty)$ $(-infty, -3) cup (-3, 0)$

Explanation:

A function is decreasing when its graph moves downward as x increases. Looking at the graph:

1. For the left upper branch: as x increases from $-\infty$ to $-3$, the y-values decrease toward the x-axis.
2. For the lower branch: as x increases from $0$ to $3$, the y-values decrease toward $-\infty$.
3. The interval $(-\infty,-3)$ matches the decreasing behavior of the left upper curve, and this is the only option that correctly identifies a decreasing interval from the choices provided.

Answer:

$(-\infty,-3)$