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# Algebra 2 Ch. 1

### Ch.1

Order of Operations P : Parentheses E : Exponents M : Multiplication D : Division A : Addition S : Subtraction
Independent and Dependent Variables A function is a correspondence or pairing between two variables such that each value of the first (independent) variable corresponds to exactly one value of the second (dependent) variable..
f(x) notation X and Y variables can become to confusing so that is why f(x) notation is used.
Finding Domain and Range from a Graph Domain: the set of allowable values for the independent variable. Range: set of values of the dependent variable that result from all possible substitutions for the independent variable.
Definition of a Function A function is a relation in which no two different ordered pairs have the same first coordinate.
Vertical Line Test for Functions No vertical line intersects the graph of a function in more than one point.
Distributive Property For all real numbers a, b, and c, c( a + b ) = ca + cb
Recursive Formula ex: First Term = 40 New Term = previous term divided by 2 for all terms after the first
Explicit Formula Found by plugging in the nth term ex: Tn = 3n
Clearing Fractions To clear fractions in an equation multiply them all by a common denominator.
Created by: Nickp2396