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PreCalculus 3

Chapter 3 Vocab

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.
Created by: ballen1209