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21 terms

Absolute Value Function

a function of the form f(x)=|mx+b|+c where m=/0

Constant of Variation

When x and y are variables you can write k=y/x so the ratio y:x equals the constant k

Dependent Variable

When the value of Y depends on the value of X;Y

Direct Variation

A linear function defined by an equation of the form y=kx where k=/ 0; as with any line the slope k is constant

Domain

The set of all inputs or x-coordinates of the ordered pairs

Function

A relation in which each element of the domain is paired with exactly one element in the range

Independent Variable

When the value of Y depends on the value of X;X

Linear Equation

A way to represent a linear function

Linear Function

A function whose graph is a line

Linear Inequality

an inequality in teo variables whose graph is a region of the coordinate plane that is bounded by a line

Parent Function

The simplest function with these characteristics y=|x|

Point-Slope Form

The line through point (x1,y1) with slope m: y-y1=m(x-x1)

Range

The set of all outs or y-coordinates of the ordered pairs

Relation

A set of pairs of input and output values

Slope

The ratio of vertical change to a corresponding horizontal change

Slope-Intercept Form

y=mx+b

Standard Form

Ax+By=C

Translation

Shifts the graph horizontally, vertically, or both

Vertical-Line Test

A way to tell whether the relation is a function on a graph of a relation

X-Intercept

The point at which the line crosses the x-axis

Y-Intercept

The point at which the line crosses the y-axis