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Continuity of Functions Terms

Get down with the lingo

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 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.

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