# Continuous Function

A continuous function is function with no jumps, gaps, or undefined points.

Continuous function is a college-level concept that would be first encountered in a Calculus I course. It is an Advanced Placement Calculus AB topic.

### Examples

Cosine: | The cosine is the ratio of the length of an angle's adjacent side to the length of the hypotenuse in a right triangle. |

Exponential Function: | The exponential function is the function consisting of the base of the natural logarithm e taken to the power of a given variable. |

Polynomial: | A polynomial is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients. |

Power: | In arithmetic, a power is an exponent to which a given quantity is raised. |

Rational Function: | A rational function is a function that can be written as the quotient of two polynomials. |

Sine: | The sine is the ratio of the length of a given angle's opposite side to the length of the hypotenuse in a right triangle. |

Tangent: | (1) In trigonometry, the tangent of an angle is the ratio of the length of a given angle's opposite side to the length of the angle's adjacent side in a right triangle. (2) In geometry, two figures are said to be tangent to one another if they "just touch". |

### Prerequisites

Function: | A function is a relation that uniquely associates members of one set with members of another set. The term "function" is sometimes implicitly understood to mean continuous function, linear function, or function into the complex numbers. |