Relations and Functions

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23 Terms

1

function notation

a way to name a function that is defined by an equation. Replace "y" with "f(x)"

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2

input

A value substituted for an x-value in a function.

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3

output

The result of substituting a value into a function.

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4

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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5

zeros

The x-intercepts of the graph of a function; the points for which f(x)=0.

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6

Arithmetic Squence

a numerical pattern that increases or decreases at a constant rate/value

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7

common difference

the difference (d) between consecutive terms in an arithmetic sequence

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8

Arithmetic Sequence Formula

A formula used to find the nth term of an arithmetic sequence

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9

coordinate plane

Formed by the intersection of two number lines, the horizontal axis and the vertical axis.

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10

x-axis

the horizontal number line in a coordinate plane

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11

y-axis

the vertical axis on a coordinate plane

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12

quadrants

The four regions into which the x- and y- axis separate the coordinate plane

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13

origin

the point at which the x- and y- axis intersect on the coordinate plane

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14

ordered pair

A set of numbers, or coordinates, written in the form (x,y)

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15

x-coordinate

The x-value of an ordered pair, represents the horizontal placement of the point.

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16

y-coordinate

the y-value of an ordered pair, represents the vertical placement of the point

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17

discrete graph

a graph that consists of points that are not connected

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18

continuous graph

a function graphed with a line or smooth curve

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19

relation

a set of ordered pairs

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20

domain

The set of first numbers (x-values) of the ordered pairs of a relation.

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21

range

the set of second numbers (y-values) of the ordered pairs in a relation

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22

mapping

Illustrates how each element of the domain is paired with an element in the range.

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23

function

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

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