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