Algebra 2 AIMS
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30 terms
Terms | Definitions |
|---|---|
 algebraic | a group of numbers, symbols, and variables that express a single or series of mathematical operations (e.g., 2x+4+6y ) |
| analyze | a process of dividing a composite into its parts for the purpose of examination |
| asymptote | a line that a graph approaches |
| center | the point which all the points on the circumference of a circle are equidistant. |
| combination | The number of ways of choosing or selecting k unordered outcomes from n possibilities. |
| complementary event | two events in which either one or the other must take place but they cannot both happen at the same time; the sum of the probabilities is 1, two events in which either one or the other must take place but they connot both happen at the same time; the sum of the probabilities is 1 |
| complex number | a number that can be written in the form a + b where a and b are real numbers and i is an imaginary number (e.g., 2+3i which is equivalent to 2 + √ -3 ) |
| conjecture | an unproven statement based on observations |
| cubic | a rule containing the cube of a variable (e.g., f(x)=x³) |
| estimation | an approximation and reasonable answer that is close to the exact answer without actually calculating the exact answer |
| exponential | a form of mathematical representation of a term raised to a power or terms grouped and raised to a power (e.g., 5x³ or (5x+7)³) |
| exponential function | an equation format written as f(x) = aˣ where the base, a, is a constant real number greater than zero but not equal to one. |
| formal reasoning | reasoning that involves inducing a conclusion on the basis of specific facts or examples |
| informal reasoning | the process of evaluating a conclusion, theory, or course of action on the basis of believability of evidence |
| integral | general: an integer calculus: a function used for the calculation of the area under a curve |
| inverse of a function | a function ƒ(y) = x, denoted by ƒ⁻¹(x) such that the domain of the function ƒ(x) becomes the range of the inverse function ƒ⁻¹(x), and the range of ƒ(x) becomes the domain of ƒ⁻¹(x) ; the function will only have an inverse function if it is a one to one relation |
| logarithmic | functions that involve logarithms and are the opposite of the exponential function |
| magnitude | size or quantity |
| measures of spread | an indication of the dispersion or variation of data values including range, quartiles, interquartile range, standard deviation, and variance |
| measures of center | numbers that communicate the "center" or "middle" of a set of data (i.e., mean, median, and mode) |
| normal distribution | the spread of data that is symmetric in a given interval, has a median and mean that are equal, and can be fit with a normal curve |
| Pascals' triangle | a triangular arrangement of numbers in which each row starts and ends with 1, and each other number is the sum of the two numbers above it |
| piece-wise define function | a function that uses different rules for the number x depending on the element of the domain |
| points of discontinuity | a point where a function is not continuous, noted by an open circle on the graph of the function |
| sigma notation | the Greek letter sigma used to indicate summation |
| standard deviation | a statistical calculation of the dispersion of the data |
| statistics | the collection, organization, description, and analysis of quantitative data |
| step function | a piecewise function whose graph resembles a set of stair steps |
| validate | prove valid |
| variance | population: a measure of variability given by the average of squared deviations if the data is taken from an entire population : a measure of variability given by the average of squared deviations if data is taken from a sample instead of an entire population |
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