Finding Domain And Range Of Graphs Worksheet - Free Printable

To solve the problem, we need to analyze each graph and identify its characteristics. Here is a detailed explanation of each graph:

Graph A

- Shape: Wavy line with peaks and troughs.
- Characteristics: This graph represents a periodic function, likely a sine or cosine wave.
- Type: Periodic function.

Graph B

- Shape: Straight line with a positive slope.
- Characteristics: The line passes through two points and extends infinitely in both directions.
- Type: Linear function (positive slope).

Graph C

- Shape: Vertical line segment.
- Characteristics: The line is vertical and does not extend infinitely; it has endpoints.
- Type: Vertical line segment.

Graph D

- Shape: Circle.
- Characteristics: A perfect circle centered at the origin.
- Type: Circle equation.

Graph E

- Shape: Parabola opening to the right.
- Characteristics: The parabola is symmetric about the y-axis and opens horizontally.
- Type: Horizontal parabola.

Graph F

- Shape: Horizontal line.
- Characteristics: The line is horizontal and extends infinitely in both directions.
- Type: Horizontal line.

Graph G

- Shape: Horizontal line segment.
- Characteristics: The line is horizontal and does not extend infinitely; it has endpoints.
- Type: Horizontal line segment.

Graph H

- Shape: Straight line with a negative slope.
- Characteristics: The line passes through two points and extends infinitely in both directions.
- Type: Linear function (negative slope).

Graph I

- Shape: V-shaped curve.
- Characteristics: The curve is symmetric about the y-axis and opens upwards.
- Type: Absolute value function.

Graph J

- Shape: Ellipse.
- Characteristics: An ellipse centered at the origin.
- Type: Ellipse equation.

Graph K

- Shape: Parabola opening downwards.
- Characteristics: The parabola is symmetric about the y-axis and opens vertically.
- Type: Vertical parabola (opening downwards).

Graph L

- Shape: Parabola opening upwards.
- Characteristics: The parabola is symmetric about the y-axis and opens vertically.
- Type: Vertical parabola (opening upwards).

Summary of Graph Types

1. A: Periodic function (sine/cosine wave)
2. B: Linear function (positive slope)
3. C: Vertical line segment
4. D: Circle
5. E: Horizontal parabola
6. F: Horizontal line
7. G: Horizontal line segment
8. H: Linear function (negative slope)
9. I: Absolute value function
10. J: Ellipse
11. K: Vertical parabola (opening downwards)
12. L: Vertical parabola (opening upwards)

Final Answer

\[
\boxed{
\begin{array}{c|c}
\text{Graph} & \text{Type} \\
\hline
A & \text{Periodic function} \\
B & \text{Linear function (positive slope)} \\
C & \text{Vertical line segment} \\
D & \text{Circle} \\
E & \text{Horizontal parabola} \\
F & \text{Horizontal line} \\
G & \text{Horizontal line segment} \\
H & \text{Linear function (negative slope)} \\
I & \text{Absolute value function} \\
J & \text{Ellipse} \\
K & \text{Vertical parabola (opening downwards)} \\
L & \text{Vertical parabola (opening upwards)} \\
\end{array}
}
\]