## Mrs. Wood: Math 1 Period 6

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Sylum_James  on September 22, 2010

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Sylum_James : hey is katelyn. feel f ree to continue these. they are for anyone a nd everyone to use. i was tired of writing t hem all down. thanks s ee yall in class

# Mrs. Wood: Math 1 Period 6

 parent functionmost basic function in a function family
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#### Definitions

parent function most basic function in a function family
negation the opposite of a conditional statement. The symbol is ~
odd function s function f(x) such that f(-x)= -f(x)
y- intercept The y coordinate of a point where a graph crosses the y axis.
linear parent function y=x or f(x)=x
domain The set of all possible inputs
vertical shrink transformation that occurs when 0<a<1
end behavior the behavior of the graph as x approaches positive infinity (+∞) or negative infinity (−∞)
finite sequence a sequence that contains a finite number of terms
even function a function f(x) such that f(x)=f(-x)
absolute-value parent function f(x)=lxl is the most basic function in this family of functions
range the set of outputs
asympotoe line that a graph approaches more aand more cloosely
average rate of change slope
biconditional statement a statement that contains the phrase "if and only if"
dependent value output variable of a function
vertical shift transformation caused by b (adding or subtracting a number from the function)
zeros of a function the x-values for which f(x) = 0
conditional statement a type of logical statement that has two parts, a hypothesis and a conclusion
conjecture An unproven statement that is based on observations.
ellipses dots that indicate that terms are missing
input A number in the domain of a function
converse The statement formed by switching the hypothesis and conclusion of a conditional statement.
excluded value a number that makes a rational statement undefined
conclusion the "then" part of a conditional statement
counterexample a specific case for which the conjecture is false
contrapositive the statement formed by negating the hypothesis and conclusion of the converse of a conditional statement
cubic parent function f(x)=x^3
if-then form the form of a conditional statemetn that uses the words "if" and "then"
function family a group of function with similar characteristics
vertical line a line whose equation is x= a number
function pairing of inputs with outputs such that each input is paired with exactly one output
hypothesis the "if" part of a conditional statement
inverse the statement formed when you negate the hypothesis and conclusion of a conditional statement
indipendent variable the input variable of a function
reflection transformation caused by multiplying the function by-1
axis of symmetry the line that passes through the vertex an divides the parabola in half so each side mirrors the other
function notation A way to name a function using the symbol f(x) instead of y
parabola the graph of a quadratic function
horizontal line y = a number (example: y=4)
radical parent function (square root parent function) f(x)= squareroot of x
recursive formula formula that one must know previous terms in order to use
vertex lowest or highest point where a graph crosses the x- axsis
x- intercept The x coordinate of a point where a graph crosses the x axis.
rotational symmetry symmetrical about the origin
line graph of a linear function
rational parent function f(x)=1/x
vertical stretch transformation that occurs when a>1
perimeter outer boundary
rational expression an expression that can be written as ratio of two polynomials.
excluded value a number that makes a rational statement undefined. only denominators matter
simplest form of a rational expression a rational expression is in simplest form when the numorator and denominator have no factors in common other that one
least common denominator of rational expression must have the same denominator
volume model for polynomial arithmetic V=LWH
formula an equation that relates 2 or more quanities
F.I.O.L first. outer. inner. last.

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