# 1.7: Increasing and Decreasing Functions

Difficulty Level:

**At Grade**Created by: CK-12Estimated9 minsto complete

%

Progress

**Practice**Increasing and Decreasing Functions

MEMORY METER

This indicates how strong in your memory this concept is

Practice

Progress

Estimated9 minsto complete

%

Estimated9 minsto complete

%

Practice Now

MEMORY METER

This indicates how strong in your memory this concept is

Turn In

### Notes/Highlights Having trouble? Report an issue.

Color | Highlighted Text | Notes | |
---|---|---|---|

Show More |

Term | Definition |
---|---|

Continuous |
Continuity for a point exists when the left and right sided limits match the function evaluated at that point. For a function to be continuous, the function must be continuous at every single point in an unbroken domain. |

decreasing |
A function is decreasing over an interval if its values are getting smaller over the interval. The graph will go down from left to right over the interval. |

decreasing function |
A decreasing function is one with a graph that goes down from left to right. |

Function |
A function is a relation where there is only one output for every input. In other words, for every value of , there is only one value for . |

Global Maximum |
The global maximum of a function is the largest value of the entire function. Symbolically, it is the highest point on the entire graph. |

Global Minimum |
The global minimum of a function is the smallest value of the entire function. Symbolically, it is the lowest point on the entire graph. |

increasing |
A function is increasing over an interval if its values are getting larger over the interval. The graph will go up from left to right over the interval. |

increasing function |
An increasing function is one with a graph that goes up from left to right. |

interval |
An interval is a specific and limited part of a function. |

Interval Notation |
Interval notation is the notation , where a function is defined between and . Use ( or ) to indicate that the end value is not included and [ or ] to indicate that the end value is included. Never use [ or ] with infinity or negative infinity. |

monotonic |
A function is monotonic if it does not switch between increasing and decreasing at any point. |

relative extrema |
The relative extrema of a function are the points of the function with values that are the highest or lowest of a local neighborhood of the function. |

strictly |
Strictly is an adjective that alters increasing and decreasing to exclude any flatness or periods where values are staying constant. |

### Image Attributions

Show
Hide
Details

Description

Identification of increasing and decreasing intervals of discrete and continuous functions.

Learning Objectives

None

Related Materials

Difficulty Level:

At Grade
Tags:

Subjects:

## Concept Nodes:

Date Created:

Nov 01, 2012
Last Modified:

Mar 23, 2016
Vocabulary

None

Files can only be attached to the latest version of Modality