Answer
We can see a sketch of one possible graph below.
Work Step by Step
$f'(0) = f'(2) = f'(4) = 0$
The slope of the graph is zero at $x = 0,2,4$
There could be a local maximum or a local minimum at these three points.
$f'(x) \gt 0$ if $x \lt 0$ or $2 \lt x \lt 4$
The graph is increasing on these intervals.
$f'(x) \lt 0$ if $0 \lt x \lt 2$ or $x \gt 4$
The graph is decreasing on these intervals.
$f''(x) \gt 0$ if $1 \lt x \lt 3$
The graph is concave up on this interval.
$f''(x) \lt 0$ if $x \lt 1$ or $x \gt 3$
The graph is concave down on these intervals.
