Function or Not Function
SUBTITLE
The following summarizes how to classify correspondences as
relation only or functions.
Relation only Function
Set of Ordered Pair
Relation Only Function
1. A = { (1, 4), (1, 8), (1, 9), (1, 13)}
2. B = {(3, 9), (1, 0), (5, -2), (3, -1)}
3. C = {(2, 7), (-5, 0), (4, -2), (-5, -1)}
• Domain is paired with more than one
element
4. D = {(4, 9), (1, 7), (-5, -2), (5, -1)}
5. E = {(4, 9), (6, 9), (5, 9), (3, 9)}
6. B = {(3, -1), (1, 6), (5, 3), (0, -1)}
To determine whether a graph is a function or not, use a
vertical line test.
Graphs
Relation Only Function
Domain and Range
Domain refers to the set of possible input values, the domain of
a graph consists of all the input values shown on the x-axis. The range is
the set of possible output values, which are shown on the y-axis.
Example 3. Domain : all real numbers
Range: all real numbers
Example 4. Domain: x ≥ 0
Range: all real numbers
Example 4. Domain: x ≥ 0
Range: y ≥ 0
Example 5. Domain: all real numbers except x = 2
Range: all real numbers except y = 0
Example 5. Domain: -3 ≥ x < 3
Range: -4 ≤ y ≤ -2
Example 6. Domain: 1 ≥ x > -3
Range: -4 ≤ y < -3

Function or not function

  • 1.
    Function or NotFunction SUBTITLE
  • 2.
    The following summarizeshow to classify correspondences as relation only or functions. Relation only Function
  • 3.
    Set of OrderedPair Relation Only Function 1. A = { (1, 4), (1, 8), (1, 9), (1, 13)} 2. B = {(3, 9), (1, 0), (5, -2), (3, -1)} 3. C = {(2, 7), (-5, 0), (4, -2), (-5, -1)} • Domain is paired with more than one element 4. D = {(4, 9), (1, 7), (-5, -2), (5, -1)} 5. E = {(4, 9), (6, 9), (5, 9), (3, 9)} 6. B = {(3, -1), (1, 6), (5, 3), (0, -1)}
  • 4.
    To determine whethera graph is a function or not, use a vertical line test.
  • 5.
  • 6.
    Domain and Range Domainrefers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
  • 8.
    Example 3. Domain: all real numbers Range: all real numbers Example 4. Domain: x ≥ 0 Range: all real numbers
  • 9.
    Example 4. Domain:x ≥ 0 Range: y ≥ 0 Example 5. Domain: all real numbers except x = 2 Range: all real numbers except y = 0
  • 10.
    Example 5. Domain:-3 ≥ x < 3 Range: -4 ≤ y ≤ -2 Example 6. Domain: 1 ≥ x > -3 Range: -4 ≤ y < -3