Answer
No, the function is not increasing on the interval $(-2, 6)$.
Work Step by Step
For a graph to be increasing on the interval $(-2,,6)$, its value must be increasing on the entire interval from $x=-2$ to $x=6$
Notice that the graph is falling from $x=-2$ to $x=0$.
This means that the function $f$ is NOT increasing on the interval $(-2, 6)$.