Domain & Range
| Definition | Example {(3, 6), (2, 8), (5, 3)} |
Domain | All the x-coordinates in the function's ordered pairs | { 3, 2, 5} |
Range | All the y-coordinates in the function's ordered pairs | { 6, 8, 3} |
The domain is the set of all the values of the independent variable, the x-coordinate
The range is the set of all the values of the dependent variable, the y-coordinate.
Identify the domain and range of the function below.
{ 2, 7), (4, 11), (6, 15), (8, 19)}
What is the domain of this function?�What is the range of this function?
Domain is 0 ≤ x ≤ 4
Range is 1 ≤ y ≤ 5
The graph shows the path of a golf ball
What is the range of this function?
F 0 < y < 100
G 0 ≤ y ≤ 100
H 0 ≤ x ≤ 5
J 0 ≤ x ≤ 5
What is the domain of this function?
A -1 ≤ x ≤ 5
B -1 ≤ x ≤ 9
C 2 ≤ x ≤ 5
D 0 ≤ y ≤ 9
What is the domain of the function shown on the graph?
A -2 < y ≤ 2
B -4 ≤ x ≤ 6
C -4 < y ≤ 2
D -2 < x ≤ 6
The Vertical Line Test
The vertical line test is used to determine if a graph is a function.
If a vertical line passes through a graph more than once, the graph is not the graph of a function.
Hint:
Pass a pencil across the graph held vertically to represent a vertical line.
The pencil crosses the graph more than once. This is not a function because there are two y-values for the same x-value.