Let's analyze the graph and answer the questions based on it:

1. Intercepts:

   • X-intercepts: These occur where the graph crosses the x-axis ($y = 0$). From the graph, we can see that the function crosses the x-axis at two points:

     • $(-4, 0)$
     • $(2, 0)$

   • Y-intercept: This occurs where the graph crosses the y-axis ($x = 0$). From the graph, the y-intercept is:

     • $(0, -2)$

2. Domain and Range:

   • Domain: The domain refers to all possible x-values for which the function is defined. From the graph, the function spans from $x = -4$ to $x = 4$.

     • Domain: $[-4, 4]$

   • Range: The range refers to all possible y-values of the function. From the graph, the lowest y-value is $-4$ and the highest y-value is $3$.

     • Range: $[-4, 3]$

3. Intervals of Increase, Decrease, and Constant Behavior:

   • Increasing: The function is increasing where the slope is positive. From the graph:

     • The function increases on the interval $(2, 4]$.

   • Decreasing: The function is decreasing where the slope is negative. From the graph:

     • The function decreases on the intervals $[-4, -2]$ and $[0, 2]$.

   • Constant: The function is constant where the graph is flat. From the graph:

     • The function is constant on the interval $[-2, 0]$.

4. Even, Odd, or Neither:

   • To determine if the function is even, odd, or neither, we need to check symmetry:
     • Even: A function is even if $f(-x) = f(x)$, which implies symmetry about the y-axis.
     • Odd: A function is odd if $f(-x) = -f(x)$, which implies rotational symmetry about the origin.

   From the graph, the function does not show symmetry about the y-axis or origin, so it is neither even nor odd.

Would you like more details or clarifications on any part of the solution?

Here are 5 relative questions to expand the concept:

1. What is the difference between domain and range in a function?
2. How can you algebraically determine if a function is even or odd?
3. What are the characteristics of an increasing or decreasing function?
4. Why is it important to determine intercepts in the analysis of a function?
5. How would the intervals of increase or decrease change if the function had a different slope?

Tip: When analyzing graphs, always carefully observe the points of intersection with the axes, which provide key details like intercepts and the function's overall behavior.