# Precalculus

Log in to track progress 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 Integers Whole numbers, positives, and negatives Rationals Numbers that are quotients of integers Irrationals Numbers that are NOT quotients of integers Real numbers All the rationals and the irrationals
2. Imaginary and complex numbers Imaginary numbers Their squares are negative! Working with imaginaries Add, subtract, multiply, and divide imaginary numbers Complex numbers Combining the real and the imaginary The complex plane A way to graph complex numbers Powers of i Raising i to positive and negative integer powers
3. Functions Relations Sets of (x,y) coordinates Functions Relations where each input gives exactly one output Functional notation Explore what f(x) means, and evaluate functions Continuity and smoothness Some functions end and others keep going Describing functions Make your own functions, and live to tell the tale Concavity Math-talk for "curvy" Odd and even functions Turns out functions can be "odd" and "even" too
4. Exponents
5. Logarithms
6. Playing with functions Piecewise functions Franken-functions. They're alive! Compositions Functions of functions
7. Conic sections
8. Rational functions
9. Polar functions