click below
click below
Normal Size Small Size show me how
1.6
| Term | Definition |
|---|---|
| power | a product of repeated factors |
| exponent | the exponent of a power indicates the number of the times the base is used as a factor |
| base of a power | the repeated factor |
| nth root of a | the index of a radical |
| radical | the term with an nth root symbol |
| index of a radical | the value of the number in the v of the nth root symbol |
| cube root | a number that when multiplied by itself and then multiplied by itself again equals a given number |
| counterexample | an example that proves proves that a general statement is not true |
| radical expression | an expression that contains an nth root symbol |
| simplest form of a radical | an expression involving a radical with index that has no radicands with perfect nth powers as factors other than 1 no radicands that contain fractions and no radicals that appear in the denominator of a fraction |
| rationalizing the denominator | to eliminate a radical from the denominator of a fraction by multiplying by an appropriate form of 1 |
| conjugates | an expression formed by changing the sign between two terms of a binomial |
| like radicals | radicals with the same index and radicand |
| radicand | the number inside the radical symbol |
| perfect cube | the result of multiplying a number by itself three times |
| exponential function | a nonlinear function of the form y =ab^x, |
| independent variable | the variable that represents the input values of a function |
| dependent variable | the variable that represents the output values of a function |
| parent function | the most basic function in a family of functions |
| exponential growth | when a quantity increases by the same factor over equal intervals intervals of time |
| exponential growth function | a function of the form y = a(1+r)^t |
| exponential decay | when a quantity decreases by the same factor over equal intervals of time |
| exponential decay function | a function of the form y=(1-r)^t |
| compound interest | the interest earned on the principal and on previously earn interest |
| exponential equation | an equation in which variable expressions occur as exponents |
| geometric sequence | an ordered list of numbers in which the ratio between each pair of consecutive terms is the same |
| common ratio | the ratio between each pair of consecutive terms in a geometric sequence |
| arithmetic sequence | an ordered list of numbers in which the difference between each pair of consecutive |
| common difference | the difference between each pair of consecutive terms in an arithmetic sequence |