1. The problem asks for the number of relative extrema and critical points of the function $f(x)$ on the interval $[-1.5, 2.5]$. 2. A relative extremum is a point where the function changes direction from increasing to decreasing (relative maximum) or decreasing to increasing (relative minimum). 3. Critical points are points where the derivative $f'(x)$ is zero or undefined, which often correspond to relative extrema but can also include points of inflection. 4. From the graph description, there are three relative extrema: a relative maximum near $x \approx -1.25$, a relative minimum near $x \approx 0$, and another relative maximum near $x \approx 2$. 5. Since each relative extremum corresponds to a critical point where $f'(x) = 0$, and no other critical points are mentioned, the number of critical points is also three. 6. Therefore, the function has 3 relative extrema and 3 critical points in the interval $[-1.5, 2.5]$. Final answers: - Number of relative extrema: 3 - Number of critical points: 3