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

1. Domain (Dominio):

The domain is the set of all possible input values (x-values) for which the function is defined. Looking at the graph, the function exists between $x = -4$ and $x = 4$.

• Domain: $-4, 4$

2. Range (Rango):

The range is the set of all possible output values (y-values) the function can take. From the graph, the y-values range from $-2$ to $2$.

• Range: $-2, 2$

3. Evaluating function at specific points:

• $f(0)$: At $x = 0$, the graph shows $y = 0$.
  • $f(0) = 0$
• $f(-2)$: At $x = -2$, the graph shows $y = 2$.
  • $f(-2) = 2$
• $f(4)$: At $x = 4$, the graph shows $y = -2$.
  • $f(4) = -2$

4. x-intercepts (Intersección en el eje x):

The x-intercept occurs where the graph crosses the x-axis (where $y = 0$). From the graph, the x-axis is crossed at $x = 0$.

• x-intercept: $x = 0$

5. y-intercepts (Intersección en el eje y):

The y-intercept is where the graph crosses the y-axis (where $x = 0$). From the graph, this happens at $y = 0$.

• y-intercept: $y = 0$

Let me know if you'd like any clarifications on this! Here are some additional questions you can think about:

1. How would the domain change if the graph extended beyond $x = 4$?
2. How do you interpret a function with no x-intercepts or y-intercepts?
3. Can a function have more than one x-intercept or y-intercept?
4. What kind of function do you think this graph represents (e.g., piecewise, linear, etc.)?
5. How would the range change if the graph extended vertically?

Tip: Always check the endpoints of a graph carefully when determining the domain and range, as these points define where the function begins and ends.