Functions and Relations Not relationships Relations

Functions and Relations Standard: 18.0 Students determine whether a relation defined by a graph, a set of ordered pairs, or a symbolic expression is a function and justify the conclusion.

Objective: The students should be able to determine if a set of ordered pairs is a function. Apply the vertical line test to determine if a graph is a function

Vocabulary Relation Function Input Output Graph Domain Range Vertical line test Discrete Continuous

Why do we need functions?

What are functions? For every input, the function returns exactly one output.

What are functions? Even though two different inputs may give the same output For example: f(x) = x 2 (3,9) and (-3, 9) f(x) is still a function. Every x has a unique y, not every y has a unique x.

Birthday Relations

What are functions? Determine if the set of ordered pairs is a function? Explain (5,2) (4,1) (3,0) (2,-1) (1,-2) (0,-3) (2,2) (3,3) (4,4) (5,5) (6,6) (2,1) (2,2) (2,3) (2,4) (2,5) (-2,2) (-4,2) (-6,2) (-8,2) (9,-9) (8,-8) (7,-7) (9,-6) No Yes No Yes No Yes

What are functions? A vertical line should intersect the graph at exactly one point. Vertical Line Test

Use the Vertical Line Test to determine if the graph represents a function.

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