Functions and Relations
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Last updated 2:45 AM on 9/19/22
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20 Terms
1
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function notation
a way to name a function that is defined by an equation. Replace "y" with "f(x)"
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input
A value substituted for an x-value in a function.
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output
The result of substituting a value into a function.
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vertical line test
If any vertical line passes through no more than one point of the graph of a relation, then the relation is a function.
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zeros
The x-intercepts of the graph of a function; the points for which f(x)=0.
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coordinate plane
Formed by the intersection of two number lines, the horizontal axis and the vertical axis.
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x-axis
the horizontal number line in a coordinate plane
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y-axis
the vertical axis on a coordinate plane
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quadrants
The four regions into which the x- and y- axis separate the coordinate plane
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origin
the point at which the x- and y- axis intersect on the coordinate plane
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ordered pair
A set of numbers, or coordinates, written in the form (x,y)
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x-coordinate
The x-value of an ordered pair, represents the horizontal placement of the point.
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y-coordinate
the y-value of an ordered pair, represents the vertical placement of the point
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discrete graph
a graph that consists of points that are not connected
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continuous graph
a function graphed with a line or smooth curve
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relation
a set of ordered pairs
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domain
The set of first numbers (x-values) of the ordered pairs of a relation.
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range
the set of second numbers (y-values) of the ordered pairs in a relation
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mapping
Illustrates how each element of the domain is paired with an element in the range.
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function
a relation in which each element of the domain is paired with exactly one element of the range
Flashcards (125)