# Points, Vectors, and Functions Terms

## Get down with the lingo

### Increasing Function

A function in which the value of the output (the*y*value) increases as the input value (the

*x*value) increases.

### Decreasing Function

A function in which the value of the output (the*y*value) decreases as the input value (the

*x*value) increases.

### Even Function

A function*f*(

*x*) in which for all values of

*x*in the domain,

*f*(

*x*) =

*f*(-

*x*); equivalently, the graph of

*f*(

*x*) is symmetric with respect to the

*y*-axis.

### Odd Function

A function*f*(

*x*) in which all values of

*x*in the domain

*f*(

*x*) = -

*f*(-

*x*); equivalently, the graph of

*f*(

*x*) is symmetric with respect to the origin.

### Bounded Function

A function*f*(

*x*) is bounded if there are constants,

*M*and

*N,*with

*M*<

*f*(

*x*) <

*N*for all values of

*x*in the domain.

### Unbounded Function

A function*f*(

*x*) is unbounded if there are no constants,

*M*and

*N*, with

*M*<

*f*(

*x*) <

*N*for all values of

*x*.The function extends to infinity or negative infinity somewhere in its domain.

### Vector

A mathematical structure that has both magnitude and direction, represented by an ordered pair of components.### Magnitude Of A Vector

The length of a vector, denoted by || ||.### Direction Of A Vector

The counter-clockwise angle from the positive*x*-axis to the vector.

### Unit Vector

Vector with magnitude 1.### Parametric Equation

A set of equations describing relations between variables using parameters.### Polar Coordinate

A point represented in terms of its distance from the origin and angle from the*x*-axis.

### Cartesian/Rectangular Coordinate

A point represented in terms of its distance from the*x*-axis and

*y*-axis.