From the graph, we can identify critical points. At these points, there is a change between increasing and decreasing behavior.
These points are:
[tex]\begin{gathered} x=0\text{ \lparen from decreasing to increasing\rparen} \\ x=3\text{ \lparen from increasing to decreasing\rparen} \end{gathered}[/tex]
Additionally, there is a discontinuity at x = 4, but the function is still decreasing for x > 4.
Finally, we conclude that:
f(x) is increasing for x in:
[tex](0,3)[/tex]
f(x) in decreasing for x in:
[tex](-\infty,0)\cup(3,4)\cup(4,+\infty)[/tex]
