# Precalculus

Take the next step in Algebra! Here we'll introduce the most common functions you're likely to see, and different ways to describe functions.

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1. Real numbers

Whole numbers, positives, and negatives

Numbers that are quotients of integers

Numbers that are NOT quotients of integers

All the rationals and the irrationals

2. Imaginary and complex numbers

Their squares are negative!

Add, subtract, multiply, and divide imaginary numbers

Combining the real and the imaginary

A way to graph complex numbers

Raising

*i*to positive and negative integer powers
3. Functions

Sets of (x,y) coordinates

Relations where each input gives exactly one output

Explore what f(x) means, and evaluate functions

Some functions end and others keep going

Make your own functions, and live to tell the tale

Math-talk for "curvy"

Turns out functions can be "odd" and "even" too

4. Exponents

5. Logarithms

6. Playing with functions

Franken-functions. They're alive!

Functions of functions

7. Conic sections

8. Rational functions

9. Polar functions