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2-1 Relations and Functions
Big Idea: -Determine if a set of values is a relation. -Determine if a relation is a function.
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Vocabulary Relation: a set of pairs of input and output values. (x, y)
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Ex 1: Graph each relation
{(0,2), (1, 3), (2, 4)}
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B) {(-½, 3), (-4, -1), (5, 0)}
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Domain: of a relation is a set of all inputs, or the x-coordinates of the ordered pairs.
Range: of a relation is the set of all outputs, or y-coordinates of the ordered pairs.
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Ex 2: Write the ordered pairs for each relation
Ex 2: Write the ordered pairs for each relation. Find the domain and range. A( , ) B( , ) C( , ) D( , ) E( , ) F( , ) Domain: Range:
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Making a mapping diagram
A way of showing a relation that links the domain to the range. (x to y)
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Ex 3: Make a mapping diagram for each relation.
B) {(10, -5), (-4, 1), (0, 0), (4, -5)}
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Function: a relation in which each element of the domain is paired with exactly one element in the range. y x
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Ex 4: Determine whether each relation is a function.
B) {(0, 5), (11, -7), (10,5)} C) {(2, 6), (6, 2), (0,0), (-2, 12)}
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Ex 5: Use the vertical-line test to determine whether the graph represents a function.
A) B)
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C) D)
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Ex 6: For each function, find f(-2), f(½), f(3).
A) f(a) = 3a + 9 B) f(x) = -2x + ½
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