# 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.