Help
Options
Didn't know it?
click below
click below
Knew it?
click below
click below
Don't Know
Remaining cards (0)
Know
retry
shuffle
restart
0:00
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.
Normal Size Small Size show me how
Normal Size Small Size show me how
unit 2 math
| Term | Definition |
|---|---|
| function notation | a relation in which every input results in one and only one output; usually denoted with f(x) g(x) h(x) k(x) and other letters. |
| radical function | f(x)= square root of x |
| radicand | the value under the square root |
| rational function | f(x)=1/x |
| denominator restriction | domain values that render a rational expression undefined |
| square root restriction | domain values that render a rational expression square root undefined |
| interval notation | a way to indicate inequalities by using brackets or parenthesis instead of inequality symbols |
| union | a symbol used to merge 2 or more pieces of an interval |
| point of discontinuity | an x value on the graph where y value is undefined |
| continuous graph | a graph with a domain of negative infinity and infinity |
| discontinuous graph | a graph with a domain OTHER THAN negative infinity and infinity |
| vertical stretch/ shrink | occurs when a function is multiplied by a constant, a is between 0 and 1 there is a vertical shrink |
| horizontal stretch / shrink | basically the same thing as vertical stretch and shrink just sideways |
| horizontal translation left right | occurs when a constant is added or subtracted from a functions input. |
| vertical translation up and down | occurs when a constant is added or subtracted from a functions input adding is up and subtracting is down |
| reflect across the x axis | occurs when a function is multiplied by a negative coefficient |
| reflect across y axis | occurs when a functions input is multiplied by a negative coefficient |
| rigid translation | a transformation that does NOT alter the size or shape of a function |
| Nonrigid transformation | a transformation that does alter the size or shape of a graph |
| piece wise function | a function made up of multiple sub-equations, where each sub functions applies to a different interval in the domain |
| evaluate | finding the output value of a functions f(x) that corresponds to a given input value x |
| vertical line test | a visual method used to determine whether a given curve is a function or not |
| increasing | an interval in which the y value increase as the x value increases |
| decreases | an interval in which the y value decreases as the x value increaes |
| boundedness | the limit or bounds of an function (a) bounded above |
| bounded on an interval | an interval is bounded when both it's end points are included in the domain |
| extrema | a point in which a max or min value of the function is obtained in some interval (a) local relative the point is a max or min relative |
| remainder theorem | if (x) is divided by (x-c), then the remainder is f(c) |
| factor theorem | given a polynomial function f(x), x-c, is a factor of f(x) if and only is f(c)=0 |
| rational zeros theorem | |
| fundamental theorem of algebra | a polynomial of degree n has n complex roots (real and non real roots) some may be repeated |
| linear factorization theorem | if f(x) is a polynomial function of degree n>0 then f(x) has precisely n linear factors and f(x)=a (x-z)(x-z2) |
| complex conjugate | the complex conjugate of a number at bi where a and b are real numbers, is a -bc |
| conugate pairs | the number a + bi and a -bi where a and b are real numbers, are referred to as a conjugate pair. |
| polynomial inequality | an inequality where both sides of the inequality are polynomial expressions |
| solution set | the set of all real values of x such that the inequality is true |
| sign chart | a chart created along a number line where the zero of the function are marked. |
Created by:
user-1882670
Popular Math sets