Chapter 4 8 Determine if the Relation is
- Slides: 9
Chapter 4. 8: Determine if the Relation is a Function
Lesson 4. 8: Function & Relations Definition Relation: Any set of ordered pairs Function: A rule that establishes a relationship between 2 quantities, the input and the output. For every x there is exactly one y Input: x values Domain: x values Output: y values Range: y values Set Notation {1, 2, 3} Only write the number once, even if it repeats
Lesson 4. 8: Determining if the relation is a function To determine if a given relation is a function, we use the vertical line test. If the vertical line intersects the relation at one point as it moves across the graph, then that graph is a function. If the vertical line intersects the relation at more than one point as it moves across the graph, then that graph is NOT a function.
Lesson 4. 8: Determining if the relation is a function- Vertical Line Test Run a vertical line across the page from left to right Since the line only touched once, there is only one x value for every y, it is a function. y x
Lesson 4. 8: Determining if the relation is a function- Vertical Line Test Run a vertical line across the page from left to right Since the line touched more than once, there is more than one x value for every y, it is a function. y x
Lesson 4. 8: Determining if the relation is a function given a table of values Input Output 1 1 2 3 3 4 4 x y 1 1 2 3 3 3 4 4 Domain: {1, 2, 3, 4} Range: {1, 3, 4} Step 1: Graph each point Step 2: Conduct vertical line test.
Lesson 4. 8: Determining if the relation is a function given a table of values Input Output 1 1 Step 1: Graph each point Step 2: Vertical Line Test y 2 3 4 Since the line only touched once, there is only one x value for every y, it is a function. x
Lesson 4. 8: Determining if the relation is a function given a table of values Input Output 1 4 Step 1: Graph each point Step 2: Vertical Line Test y 3 4 Since the line touched more than once, there is more than one x value for every y, it is a function. x
Lesson 4. 8: Determining if the relation is a function given a table of values Input Output 1 1 2 3 3 4 4 Input Output 1 4 3 4
