21 terms

Linear Function

Function family that includes functions of the form f(x)=mx+b

Exponential Function

Function family that includes functions of the form f(x)=ab^x

Linear Absolute Value Function

Function family that includes functions of the form f(x)=|mx+b|

Quadratic Function

Function family that includes the functions of the form f(x)=ax^2+bx+c

Function

A relation between a given set of elements, such that for each element in the domain there exists exactly one unique element in the range.

Vertical Line Test

A visual way to determine if a graph is a function or non-function.

Domain

The set of input values.

Range

The set of output values

Maximum

If there is a point that has a y-coordinate that is greater than the y-coordinates of every other point on the graph.

Minimum

If there is a point that has a y-coordinate that is less then the y-coordinates of every other point on the graph.

Increasing

As the inputs increase over the domain the outputs increase.

Decreasing

As the inputs increase over the domain the outputs decrease.

Discrete Graphs

A graph of isolated points. (Disconnected)

Continuous Graphs

A graph that is connected by a line or curve. (Connected)

Dependent Quantity

The variable in a relation with a value that depends on the independent quantity.

Independent Quantity

The quantity that the dependent quantity depends upon.

Function Notation

A way to represent functions algebraically using f(x)

Increasing Function

A function where the y-value increases as the x-value increases.

Decreasing Function

A function where the y-value decreases as the x value increases.

Constant Function

A function whose value is the same for all the elements in the domain (A horizontal line)

Function Family

A group of functions that share certain characteristics.