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

3. For the graph below:

a. Domain:

The domain represents the set of all possible $x$-values for which the function is defined. From the graph, the function starts at $x = -4$ and ends at $x = 2$. So, the domain is:

$\boxed{[-4, 2]}$

b. Range:

The range is the set of all possible $y$-values. The graph spans from $y = -2$ to $y = 2$. So, the range is:

$\boxed{[-2, 2]}$

c. Decreasing:

The function decreases when the slope is negative (the graph moves downwards). This occurs from $x = 0$ to $x = 2$. So, the function is decreasing on the interval:

$\boxed{(0, 2]}$

d. Positive:

The function is positive when the graph is above the $x$-axis (i.e., $y > 0$). This happens between $x = -2$ and $x = 0$. So, the function is positive on the interval:

$\boxed{(-2, 0)}$

e. x-intercepts:

The x-intercepts are the points where the graph crosses the $x$-axis (i.e., where $y = 0$). From the graph, the x-intercepts are at $x = -2$ and $x = 0$. So, the x-intercepts are:

$\boxed{-2 \text{ and } 0}$

Would you like any further details or clarifications?

Related Questions:

1. How do you find the slope of the segments of the graph?
2. What is the significance of the range in the graph?
3. How can you tell from the graph if a function is increasing or decreasing?
4. What is the difference between domain and range in a graph?
5. How do you find the x-intercept algebraically from an equation?

Tip:

When analyzing graphs, always look for changes in direction (slopes) to identify increasing or decreasing behavior.