click below
click below
Normal Size Small Size show me how
PreCalculus 3
Chapter 3 Vocab
Term | Definition |
---|---|
Algebraic function | A function with values that are obtained by adding, subtracting, multiplying, or dividing by constants and the independent variable or raising the independent variable to a rational power. |
Common logarithm | A logarithm with base 10, usually written log x. |
Continuous compound interest | Interest that is reinvested continuously so that there is no waiting period between interest payments. |
Exponential function | A function of the form f(x)=abx, where x is any real number and a and b are real number constants such that a≠0, b is positive, and b≠1. |
Linearize | Transform data so that they appear to cluster about a line by applying a function to one or both of the variables in the data set. |
Logarithm | In the function x=by, y is called the logarithm, base b, of x. Usually written y=logbx and read log base b of x. |
Logarithmic function with base b | A function of the form y=logbx, where b>0, b≠0, and x>0, which is the inverse of the exponential function of the form by=x. |
Logistic growth function | A function that models exponential growth with limiting factors. These functions are bounded by horizontal asymptotes y=0 and y=c, where c is the limit of growth. |
Natural base | The irrational number e, which is approximately equal to 2.718281828…. |
Natural logarithm | A logarithm with base e, written ln x. |
Transcendental function | A function that cannot be expressed in terms of algebraic operations, such as an exponential or logarithmic function. |