Functions and graphs

OpenStax

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Review of functions

Basic classes of functions

1 Linear functions and slope

3 Power functions

4 Behavior at infinity

5 Zeros of polynomial functions

6 Mathematical models

7 Algebraic functions

8 Transcendental functions

9 Piecewise-defined functions

10 Transformations of functions

11 Key concepts

12 Key equations

Trigonometric functions

1 Radian measure

2 The six basic trigonometric functions

3 Trigonometric identities

4 Graphs and periods of the trigonometric functions

6 Key equations

Inverse functions

1 Existence of an inverse function

2 Finding a function’s inverse

3 Graphing inverse functions

4 Restricting domains

5 Inverse trigonometric functions

7 Key equations

Exponential and logarithmic functions

1 Exponential functions

2 Evaluating exponential functions

3 Graphing exponential functions

5 Logarithmic functions

7 Hyperbolic functions

8 Graphs of hyperbolic functions

9 Identities involving hyperbolic functions

10 Inverse hyperbolic functions

11 Key concepts

12 Chapter review exercises

Source: OpenStax, Calculus volume 1. OpenStax CNX. Feb 05, 2016 Download for free at http://cnx.org/content/col11964/1.2

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