M 110 Lecture 1: 9/2 Notes
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Variable: a symbol, usually a script letter, that represents one or more numbers. Equation: mathematical sentence that uses an equal sign. Solution: a replacement set (of number[s]) for a variable(s) that correctly solves the equation. Ordered pair (x,y): two numbers that identify the location of a point on a coordinate plane. Relation: a representation consisting of two variables; a set of ordered pairs (x,y). Function: a relation in which each value of x has exactly one corresponding value of y. Domain: the set of all x-values in the ordered pairs of a relation that are acceptable and logical. Range: the set of all corresponding y-values in the ordered pairs of a relation determined by substituting the domain values into the function and that are acceptable and logical. Examples: determine if the following relation is a function, {(11, -2), (12,-1), (13, -2), (20,7) a. i.