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Relations

Any set of points.

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Domain

The set of x-values.

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Range

The set of y-values.

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Function

A relation with no repeating x-values such that there is exactly one output for each input.

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Mapping Diagram

Lists the inputs and outputs in order drawing arrows from the inputs to their outputs.

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Vertical Line Test

A visual test on a graph to determine if the relation is a function. If this line passes through more than one point, then it is not a function.

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Vertical Line Equation

x = c

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Horizontal Line Equation

y = c

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Standard Form

ax + by = c

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Slope-Intercept Form

y = mx + b

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x-intercept

(x,0); The point which crosses the x-axis.

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y-intercept

(0,y); The point which crosses the y-axis.

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Increasing

A graph that rises from left to right.

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Decreasing

A graph that falls from left to right.

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Linear Function Graph

A function whose graph is a nonvertical line.

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Nonlinear Function Graph

A function whose graph is not a line.

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Slope

Rise/Run; Difference of the y-coordinates/Difference of the x-coordinates.

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Positive Slope

An increasing line has this type of slope.

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Negative Slope

A decreasing line has this type of slope.

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Zero slope

A horizontal line has this type of slope.

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Undefined Slope

A vertical line has this type of slope.

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Same Slope

Parallel lines have this type of slope.

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Opposite Reciprocal Slope

Perpendicular lines have this type of slope.

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y-intercept

If a function is in the format y = mx + b, the b is the ___.

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Direct Variation

Two points are in _____ if they relate to each other as y=kx.

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Function Notation

Written as f(x), is read as "f of x", and represents the value of y given a value of x.

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Systems of Linear Equations

Two or more linear equations.

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Coordinate Point

A solution of a system is written as a _______ representing where the two lines cross.

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