A. Definitions
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Relation – a set of ordered pairs ie. {(1,2), (3,4), (5,6)}
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Domain – the x-values of the relation. (1,3,5)
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Range – the y-values of the relation. (2,4,6)
B. Identifying Relations that are Functions
- A relation is a function if no ordered pair has the same x-value.
- The graph of a relation is a function if a vertical line touches the graph at only one point, as the vertical line passes over the graph. (Vertical Line Test)
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C. Evaluating a Function (that’s in equation form) **f(x) replaces y and is read "f of x"
- Substitute the given x-value in for x.
- Simplify by using order of operations.
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