The problem presented asks you to solve for $y$, sketch the graph, and apply the domain. The equation is given as:

$y = -3$ with the domain: $x \in [-1, 4]$

Solution:

1. Solve for $y$: The equation $y = -3$ is already solved. It represents a horizontal line where the value of $y$ is always $-3$ for any $x$-value.

2. Sketch the Graph:

   • The graph will be a horizontal line at $y = -3$.
   • The domain is $x \in [-1, 4]$, meaning the line will only be drawn from $x = -1$ to $x = 4$.

3. Apply the Domain:

   • The domain restriction implies that the line will be limited to the segment between $x = -1$ and $x = 4$ on the x-axis.
   • At $x = -1$, the point is $(-1, -3)$.
   • At $x = 4$, the point is $(4, -3)$.
   • These two points will be the endpoints of the horizontal line.

Would you like a more detailed explanation or have any questions?

Here are 5 related questions you might want to explore:

1. What is the range of the function $y = -3$?
2. How does the domain restriction affect the graph of the line?
3. How would the graph look if the domain were all real numbers instead of $[-1, 4]$?
4. How would you express the range for this particular graph?
5. What other types of equations produce horizontal lines?

Tip: Horizontal lines have equations of the form $y = c$, where $c$ is a constant, meaning $y$ does not depend on $x$.