Mrs. Wood: Math 1 Period 6
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Sylum_James on September 22, 2010
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Terms | 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 |
| Quadratic parent function | f(x)=x^2 |
| 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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