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 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.