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## Chapter 1 Functions

### 1.1 Functions: Types, Properties, and Definitions

• This section includes definitions and explanations of functions, domain set, range set, graphing functions, compound functions, inverse functions, as well as adding, subtracting, multiplying and dividing functions, linear and non-linear functions, and even and odd functions.

Functions are an integral part of calculus. Functions reflect the fact that one or more properties can depend on (are a function of) another property. For example, how fast a trolley cart can carry a rock up a hill is a function of how much the rock weighs, the slope of the hill, and the horsepower of the motor.

• Common functions used in calculus include trigonometric functions, logarithmic functions, ...

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