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.