 Site Navigation                            Algebra I Recipe: Functions and Relations A. Definitions
1. Relation – a set of ordered pairs ie. {(1,2), (3,4), (5,6)}
2. Domain – the x-values of the relation. (1,3,5)
3. Range – the y-values of the relation. (2,4,6) B. Identifying Relations that are Functions
1. A relation is a function if no ordered pair has the same x-value.
2. 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)   Examples:   {(1,4), (2,3), (3,2), (4,1)}   {(-1,0), (7,-2), (2,4), (-1,-6)} C. Evaluating a Function (that’s in equation form)
**f(x) replaces y and is read "f of x"
1. Substitute the given x-value in for x.
2. Simplify by using order of operations.   Examples:   Determine f(-2), that is, evaluate f(x) = 3x + 2 for x = -2   Determine f(-4), that is, evaluate f(x) = 2x² - 1 for x = -4

G Redden

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