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Relation

A correspondence between two sets

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Input/Abscissa

The relation of x or the x-values

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Output/Ordinate

The relation of y or the y-values

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Map

Helps illustrate a relation by using a set of inputs and drawing arrows to the
corresponding element in the set of outputs
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6

Functions

Relations between a set of inputs (x-values) and a set of outputs (y-values)

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Domain

The set of all possible input values
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Range

The set of all possible output values

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Independent Variable

The variable x since it can be assigned any number (s) from the given domain
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Argument

A function’s independent variable
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Implicitly/Implicit Form

When a function has to be solved for y to make it explicit
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15

Is Defined

A point, or f (x), that does exist when it comes to finding the domain of a
function
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Sum of Two Functions
(f + g)(x) = f (x) + g(x)

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Difference of Two Functions
(f − g)(x) = f (x) − g(x)

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Product of Two Functions
(f ∗ g)(x) = f (x) ∗ g(x) = f (x)g(x)

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Quotient of Two Functions
f (x)
f
, g(x) = 0
(f /g)(x) = ( )(x) =
g
g(x)

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