# Concepts of graphing functions modules

## Overview

After completing this section, students should be able to do the following.

- Understand what information the derivative gives concerning when a function is increasing or decreasing.
- Understand what information the second derivative gives concerning concavity of the graph of a function.
- Interpret limits as giving information about functions.
- Determine how the graph of a function looks based on an analytic description of the function.

# What's the graph look like?

## Ximera Module

Two young mathematicians discuss how to sketch the graphs of functions.

# Concepts of graphing functions

## Ximera Module

We use the language of calculus to describe graphs of functions.