Genmath Achievment Review

Domains

Domains

is a set of all x in a relation. It is called the independent values or the input.

Range

is a set of all y in a relation. It is called the dependent values or the output.

True

All Functions are relations

Fact

If the Domain leads to one Range the function is a relation

Relation

is a set of ordered pairs that can be written in two forms:

Two forms of listing Relation

Roster Form and Rule Form

Rule Form

a statement in formula form that defines a set. Ex. A={x|x ∈ N}

Roster Form

listing of all elements. Ex. {(5,1), (2,3), (6,4)}

Function

is a relation given that every element of the domain corresponds to exactly one

One-to-One Correspondence

There is exactly one x for every y;
there is exactly one y for every x.

Many-to-one Correspondence

There are more than one x to a y in a relation.

One-to-many Correspondence

There are more than one y to an x in a relation.

Composite Functions

Putting one function inside of another function

Rational Function

The quotient of two polynomials

Intercepts

points where a line crosses the x-axis and y-axis

Asymptotes

a line that a graph approaches but never intersects