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Lesson 4.1 Relations and Functions
Describe Relations
A relation is a set of ordered pairs (x,y) where x is the input
value and y is the output value.
The domain is the set of all possible inputs for the relation.
The range is the set of all possible outputs for the relation.
Consider the relation: { (5,2), (4,1), (3,0), (2,5), (7, 4),
(4,3).
Lesson 4.1 Relations and Functions
Identify Functions
A function is a relation in which every domain
value corresponds to exactly one range value.
Lesson 4.1 Relations and Functions
Identify Functions
When a relation is graphed, you can use the vertical
line test to determine if the relation is a function.
According to the vertical line test, a relation is a
function if and only if no vertical line passes through two
or more points on the graph.

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Function 9th.pptx

  • 1. Lesson 4.1 Relations and Functions Describe Relations A relation is a set of ordered pairs (x,y) where x is the input value and y is the output value. The domain is the set of all possible inputs for the relation. The range is the set of all possible outputs for the relation. Consider the relation: { (5,2), (4,1), (3,0), (2,5), (7, 4), (4,3).
  • 2. Lesson 4.1 Relations and Functions Identify Functions A function is a relation in which every domain value corresponds to exactly one range value.
  • 3. Lesson 4.1 Relations and Functions Identify Functions When a relation is graphed, you can use the vertical line test to determine if the relation is a function. According to the vertical line test, a relation is a function if and only if no vertical line passes through two or more points on the graph.