Let's analyze each graph and determine the domain and range.

Graph 1:

• Domain: The x-values covered by the graph are from $-3$ to $7$. The graph does not extend beyond these points.

  • Domain: $[-3, 7]$

• Range: The y-values extend from the minimum point at $-4$ (the red point) to a maximum value of $4$.

  • Range: $[-4, 4]$

Graph 2:

• Domain: The graph extends horizontally from $x = -2$ to $x = \infty$ (it goes infinitely to the right).

  • Domain: $[-2, \infty)$

• Range: The y-values go from $-1$ to $5$, covering this vertical range.

  • Range: $[-1, 5]$

Graph 3:

• Domain: The graph starts from $x = -\infty$ and extends to $x = 4$, as indicated by the open circle at $x = 4$, meaning it doesn't include 4.

  • Domain: $(-\infty, 4)$

• Range: The y-values go from $y = 0$ (which is excluded due to the open circle) to $y = 18$ and beyond, extending infinitely downward.

  • Range: $(-\infty, 18)$

Summary:

1. Graph 1:
   • Domain: $[-3, 7]$
   • Range: $[-4, 4]$
2. Graph 2:
   • Domain: $[-2, \infty)$
   • Range: $[-1, 5]$
3. Graph 3:
   • Domain: $(-\infty, 4)$
   • Range: $(-\infty, 18)$

Would you like more details or have any questions?

Related Questions:

1. How do we identify the domain of a function from a graph?
2. What are the conditions that define an open or closed range in a graph?
3. How do we identify asymptotes or limits in a graph?
4. What types of functions correspond to these graphs?
5. How does the behavior of a graph affect its range?

Tip:

Always check for open or closed points when determining the range and domain—they indicate whether a value is included or excluded from the set.