Calculus Terms

Continuity

A function f(x) is continuous at the point x = a if some small change in x results in small changes in the values of f(x).

Maximum Value

The largest value(s) that a function assumes on an interval.

Minimum Value

The smallest value(s) that a function assumes on an interval.

Left-hand Limit

The value a function f(x) approaches as the input x approaches a specific value from the left.

Right-hand Limit

The value a function f(x) approaches as the input x approaches a specific value from the right.

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.