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Algebra II CH2, Vocabulary
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Terms in this set (22)
Domain
The set of all input values
Range
The set of all output values
Relation
A set of pairs of input and output values.
Function
A relation in which each element of the domain corresponds with exactly one element of the range. This is, for every input there is only one output.
Vertical Line Test
Used to determine whether a relation is a function based on the graph of the relation.
Independent Variable
The variable that represents the input value of a function.
Dependent Value
The variable that represents the output value of a function.
Slope
For a non-vertical line, the ratio of the vertical change to the horizontal change between points.
Linear Function
A function whose graph is a line.
x-intercept
a point where a graph crosses the x-axis.
y-intercept
a point where a graph crosses the y-axis.
slope-intercept form
y=mx+b; m represents the slope, b represents the y-intercept.
point slope form
y-y1=m(x-x1) m=slope, (x1, y1) is a point on the line.
Standard Form
Ax+By=C, where A, B, C are real numbers and A and B are not both zero.
Parallel Lines
Lines that do not intersect.
Perpendicular Lines
Lines that intersect to form right angles.
Parent Function
The simplest form of a set of functions that form a family.
Translation
A horizontal shift, and vertical shift, or both
Reflection
Flips the graph of a function across a line, such as the x-axis, or the y-axis.
axis of symmetry
A line the divides a figure into two parts that are mirror images.
vertex
A point where a function reaches a minimum or a maximum value.
linear inequality
An inequality in two variables whose graph is a half-plane.
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