Associated Topics || Dr. Math Home || Search Dr. Math

### Linearity and Concavity

```Date: 12/07/2003 at 17:32:44
From: Ted
Subject: Calculus Question

Why does a linear function have no concavity?
```

```
Date: 12/07/2003 at 18:26:09
From: Doctor Schwa
Subject: Re: Calculus Question

Hi Ted,

Concavity tells you whether a function is curving upward (increasing
slope) or downward (decreasing slope).  Since a line has constant
slope, it's not concave up or down.

Another way to say it is that concavity tells you whether the second
derivative is positive or negative, and a line has second derivative
zero.

Does that help?

- Doctor Schwa, The Math Forum
http://mathforum.org/dr.math/
```

```
Date: 12/08/2003 at 08:23:21
From: Ted
Subject: Thank you (Calculus Question)

Thank you so much!  That clears everything up.
```
Associated Topics:
High School Calculus
High School Functions

Search the Dr. Math Library:

 Find items containing (put spaces between keywords):   Click only once for faster results: [ Choose "whole words" when searching for a word like age.] all keywords, in any order at least one, that exact phrase parts of words whole words

Submit your own question to Dr. Math
Math Forum Home || Math Library || Quick Reference || Math Forum Search