An efficient and effective way write all functions in mathematics. To write a rule in function notation, you use the symbol f(x) in place of y.
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Discrete Data
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Data that can only take certain values (opposite of continuous data).
Example: The number of students in a class (you can't have half a student).
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Inequality
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A statement that compares two quantities using <, >, ≤,≥, or ≠
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Range
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The set of all possible output values (y) of a functions.
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Constant
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A value that does not change.
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Equal Sign
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Indicates that two values or expressions are equivalent.
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Origin
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The point with the x- and y-axes meet. The coordinate (0,0).
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Independent Variable
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The input or x-value.
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Dependent Variable
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The output or y-value. This variable depends on the input.
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Function
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A relationship in which each input (or x) is paired with exactly one output (or y). We can represent functions verbally, with tables, by sketching graphs, or by writing equations.
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Continuous Data
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Data that can take any value (opposite of discrete data).
Example: People's heights could be any value (within the range of human heights), not just certain fixed heights.
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Coefficient
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A number multiplied by a variable in an algebraic expression.
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Solve
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The process of isolating a variable using inverse operations.
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y-axis
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The vertical number line in a coordinate plane.
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Ordered Pair
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A pair of numbers that can be used to locate a point on a Cartesian plane. These numbers are also called coordinates.
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Coordinate Plane
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A plane that is divided into four quadrants by a horizontal line called the x-axis and a vertical line called the y-axis.
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x-axis
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The horizontal number line in a coordinate plane.
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Quadrant
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One of four sections into which the coordinate plane is divided.
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Equation
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A mathematical statement that two expressions are equal.
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Graph
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Collection of input and output values (ordered pairs) that form a line or curve on the coordinate plane.
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Table of Values
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A chart showing two sets of related numbers.
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Domain
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The set of all possible input values (x) of a function.
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Expression
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A mathematical phrase that contains operations, numbers, and/or variables, but NO equal sign.
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Evaluate
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To find the value of the output for a given input by substituting the input and simplifying.
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Variable
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A letter or symbol used to represent a number.
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Exponent (Power)
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A number that indicates how many times to multiply a base by itself.