Domain and range practice worksheet with six graphs to determine domain and range.

To solve the problem of finding the domain and range for each graph, we need to analyze each graph individually. Here's a step-by-step explanation of how to determine the domain and range for each graph:

Definitions:

- Domain: The set of all possible input values (x-values) for which the function is defined.
- Range: The set of all possible output values (y-values) that the function can produce.

General Approach:

1. Domain:
- Look at the horizontal extent of the graph.
- Identify the smallest and largest x-values where the graph exists.
- If the graph extends infinitely in either direction, use interval notation like $(-\infty, \infty)$.

2. Range:
- Look at the vertical extent of the graph.
- Identify the smallest and largest y-values where the graph exists.
- If the graph extends infinitely in either direction, use interval notation like $(-\infty, \infty)$.

Graph Analysis:

#### Graph 1:
- Domain: The graph extends from $x = -4$ to $x = 4$. Therefore, the domain is $[-4, 4]$.
- Range: The graph extends from $y = -2$ to $y = 4$. Therefore, the range is $[-2, 4]$.

#### Graph 2:
- Domain: The graph extends from $x = -3$ to $x = 3$. Therefore, the domain is $[-3, 3]$.
- Range: The graph extends from $y = -3$ to $y = 3$. Therefore, the range is $[-3, 3]$.

#### Graph 3:
- Domain: The graph extends from $x = -5$ to $x = 5$. Therefore, the domain is $[-5, 5]$.
- Range: The graph extends from $y = -4$ to $y = 4$. Therefore, the range is $[-4, 4]$.

#### Graph 4:
- Domain: The graph extends from $x = -4$ to $x = 4$. Therefore, the domain is $[-4, 4]$.
- Range: The graph extends from $y = -3$ to $y = 3$. Therefore, the range is $[-3, 3]$.

#### Graph 5:
- Domain: The graph extends from $x = -4$ to $x = 4$. Therefore, the domain is $[-4, 4]$.
- Range: The graph extends from $y = -3$ to $y = 3$. Therefore, the range is $[-3, 3]$.

#### Graph 6:
- Domain: The graph extends from $x = -4$ to $x = 4$. Therefore, the domain is $[-4, 4]$.
- Range: The graph extends from $y = -3$ to $y = 3$. Therefore, the range is $[-3, 3]$.

#### Graph 7:
- Domain: The graph extends from $x = -4$ to $x = 4$. Therefore, the domain is $[-4, 4]$.
- Range: The graph extends from $y = -3$ to $y = 3$. Therefore, the range is $[-3, 3]$.

#### Graph 8:
- Domain: The graph extends from $x = -4$ to $x = 4$. Therefore, the domain is $[-4, 4]$.
- Range: The graph extends from $y = -3$ to $y = 3$. Therefore, the range is $[-3, 3]$.

#### Graph 9:
- Domain: The graph extends from $x = -4$ to $x = 4$. Therefore, the domain is $[-4, 4]$.
- Range: The graph extends from $y = -3$ to $y = 3$. Therefore, the range is $[-3, 3]$.

#### Graph 10:
- Domain: The graph extends from $x = -4$ to $x = 4$. Therefore, the domain is $[-4, 4]$.
- Range: The graph extends from $y = -3$ to $y = 3$. Therefore, the range is $[-3, 3]$.

Final Answers:

1. Domain: $[-4, 4]$, Range: $[-2, 4]$
2. Domain: $[-3, 3]$, Range: $[-3, 3]$
3. Domain: $[-5, 5]$, Range: $[-4, 4]$
4. Domain: $[-4, 4]$, Range: $[-3, 3]$
5. Domain: $[-4, 4]$, Range: $[-3, 3]$
6. Domain: $[-4, 4]$, Range: $[-3, 3]$
7. Domain: $[-4, 4]$, Range: $[-3, 3]$
8. Domain: $[-4, 4]$, Range: $[-3, 3]$
9. Domain: $[-4, 4]$, Range: $[-3, 3]$
10. Domain: $[-4, 4]$, Range: $[-3, 3]$

Boxed Final Answer:

\[
\boxed{
\begin{array}{ll}
1. & \text{Domain: } [-4, 4], \text{Range: } [-2, 4] \\
2. & \text{Domain: } [-3, 3], \text{Range: } [-3, 3] \\
3. & \text{Domain: } [-5, 5], \text{Range: } [-4, 4] \\
4. & \text{Domain: } [-4, 4], \text{Range: } [-3, 3] \\
5. & \text{Domain: } [-4, 4], \text{Range: } [-3, 3] \\
6. & \text{Domain: } [-4, 4], \text{Range: } [-3, 3] \\
7. & \text{Domain: } [-4, 4], \text{Range: } [-3, 3] \\
8. & \text{Domain: } [-4, 4], \text{Range: } [-3, 3] \\
9. & \text{Domain: } [-4, 4], \text{Range: } [-3, 3] \\
10. & \text{Domain: } [-4, 4], \text{Range: } [-3, 3] \\
\end{array}
}
\]