1. **State the problem:** We analyze the given cubic-like function to find its relative maximum, relative minimum, intervals of increase and decrease, domain, and range. 2. **Identify relative extrema:** From the graph description, the function has a relative maximum at $x = -2$ with value approximately $y = 6$, and a relative minimum at $x = 3$ with value approximately $y = 1$. 3. **Determine intervals of increase and decrease:** - The function increases on the interval $(-\infty, -2)$ because it rises to the relative maximum. - It decreases on the interval $(-2, 3)$ as it falls from the maximum to the minimum. - It increases again on the interval $(3, \infty)$ as it rises after the minimum. 4. **Domain:** Since it is a cubic-like function, the domain is all real numbers, $(-\infty, \infty)$. 5. **Range:** The function attains a minimum value near $1$ and a maximum near $6$ at the relative extrema, but since it is cubic-like and extends infinitely, the range is also all real numbers, $(-\infty, \infty)$. **Final answers:** - Relative maximum at $x = -2$ with $y \approx 6$ - Relative minimum at $x = 3$ with $y \approx 1$ - Increasing on $(-\infty, -2) \cup (3, \infty)$ - Decreasing on $(-2, 3)$ - Domain: $(-\infty, \infty)$ - Range: $(-\infty, \infty)$