Work Step by Step
The graph of a function is increasing on the interval $(a, b)$ if for every real numbers $c$ and $d$, where $c \lt d$, that are within the given interval, $f(c) \lt f(d)$. Graphically, a graph is increasing on an interval $(a, b)$ when the graph rises from left to right. Graphing the given function gives a parabola that opens upward with vertex at $(0, 0)$. (Refer to the image below for the graph.) Since the graph is rising from $x=0$ to the right without bound, the graph is increasing on the interval $(0, +\infty)$. Thus, the given statement is true.