# Calculus Terms

Get down with the lingo

### Function

A relation in which each input in the domain has one and only one output.

### 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) increases as the input value (the *x* value) increases

### Even 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 *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 *x*-axis.

### Bounded Function

A function *f*(*x*) is bounded if *f*(*x*) is less than or equal to a constant |*f*(*x*)| <= *M *for all values of *x* in the domain.

### Unbounded Function

A function *f*(*x*) is unbounded if a constant *M *such that |*f*(*x*)| <= *M* does not exist for all values of *x*.

### 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.