Question

determine the intervals where the function is increasing and decreasing. submit your solution in interval notation.
draw
increasing intervals:
decreasing intervals:

Explanation:

Step1: Identify increasing interval

A function increases when its graph rises from left to right. Observing the graph, it rises between $x=0$ and $x=3$.
Interval: $(0, 3)$

Step2: Identify decreasing intervals

A function decreases when its graph falls from left to right. The graph falls from negative infinity to $x=0$, and from $x=3$ to positive infinity.
Intervals: $(-\infty, 0)$, $(3, \infty)$

Answer:

Increasing intervals: $(0, 3)$
Decreasing intervals: $(-\infty, 0)$, $(3, \infty)$