Prerequisites

=__ Weird Exponents __=

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=__ **Zeros in the numerator and/or denominator of fractions** __=
 * === A fraction with zero only in the numerator equals zero. Example: ===

(x-5)/(x+6)=0 when x=5, since that will cause a zero in the numerator

 * === A fraction with zero only in the denominator is undefined (its value approches positive/negative infinity). Example: ===



3/(x²-4) is undefined for x=__+__ 2

 * === A fraction with zero in numerator and denominator is indeterminate. Example: ===
 * === 0/0=indeterminate ===
 * === (x+3)/(x ²-9) is undefined for x=3 and indeterminate for x=-3===

You Try Now:
http://www.onemathematicalcat.org/algebra_book/online_problems/frac_zero.htm

**__ Natural Logarithms __**
 * ===Natural logarithm is the logarithm to the //e// base (When //e y// = //x, t//hen base e logarithm of x is ln(//x//) = log//e//(//x//)//= y)//===
 * ===Rules===
 * ===Product Rule: ln(//x ∙ y//) = ln(//x//) //+// ln(//y//)===
 * ===Quotient Rule: ln(//x / y//) = ln(//x//) //-// ln(//y//)===
 * ===Power Rule: ln(//x^y//) = //y ∙// ln(//x//)===
 * ==ln(//e)//=1==
 * ==ln(1)=0==

=__ **Solving Inequalities** __=
 * ===Usually the easiest way to solve an inequality is to "pretend it is equal". Find the places where the //equality// is true, and the test nearby x-values to see where the //inequality// is true. (Tip: pretend that you really have an equal sign.) Solve and test nearby numbers by plugging them into the original inequality.===

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=__ Piecewise-defined functions __=
 * ===Piecewise functions are defined by multiple experssions, each one applying to a different set of x-values===

This function is saying that "when x is less than two, the function acts like f(x)=x-2; when x is greater to or equal to one, the function acts like f(x)=4x-2".
You can type these into the calculator like this: Y=(x-2)(x<2)+(4x-2)(x__>__1) [the inequality signs are in 2nd Math]

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= = =__ Trigonmetry __=
 * ==SOC-CAH-TOA==

= = = = =__ Simplifying radicals, fractions, exponents, ect. __= = = = = =__ Fuctions __=
 * ===Radicals and powers do not distribute over addition or subtraction, but they DO distribute with multiplication and division===
 * Examples:
 * ===Order of operations: PEMDAS===
 * ===Order of operations: PEMDAS===
 * ===Even & Odd===
 * ===Even Functions: symmetric in the y-axis===
 * ===Odd Functions: rotational symmetry in the origin===