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Algebra 1 Functions
Functions CHS
18
Mathematics
9th Grade
01/28/2009

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Term
Function
Definition

relations in which each element in the domain (input) is paired with exactly one element in the range (output)

Term
Relation
Definition
a set of ordered pairs (pairing a set of inputs (domain) with a set of outputs (range))
Term
Representations
Definition
concrete models, tables, graphs, verbal descriptions, and algebraic generalizations of data
Term
Independent Variable
Definition

a variable in an equation that may have its value freely chosen without considering values of any other variable

Term
Dependent Variable
Definition
a variable that depends on one or more other variables
Term
Domain
Definition
set of independent variables for which the function is defined
Term
Range
Definition
set of dependent variables (y values) assumed by a function or relation over all permitted values of the independent variable(s)
Term
Continuous
Definition
a connected set of numbers such as the set of real numbers
Term
Discrete
Definition
a set of elements that are disconnect such as the set of integers
Term

Increasing function

Definition
a function with a graph that goes up as it is followed from left to right
Term
Decreasing function
Definition
a function with a graph that goes down as it is followed from left to right
Term

f(x) notation

Definition
same as y=
Term
Linear Function
Definition
function that when graphed form a line
Term
Quadratic Function
Definition
a function that when graphed forms a parabola or curve
Term
Exponential Function
Definition

function that shows a growth or decay rate is proportional to the current value

Term
Inverse Function
Definition

function obtained by switching the x and y values

Term
x - intercept
Definition
a point at which graph crosses the x-axis
Term
y - intercept
Definition
a point at which a graph crosses the y-axis
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