Vocabulary
Power Function- A function of the form y=ax^b, where a is a real number and b is a rational number.
Exponential Function- A function of the form y=ab^x, where a≠0, b>0, and b≠1.
Exponential Function- A function of the form y=ab^x, where a≠0, b>0, and b≠1.
Essential Information
Two points determine a line, Similarly, two points determine an exponential curve
Transforming exponential Data
A set of more than two points (x,y) fits an exponential pattern if and only if the set of transformed points (x, in y) fits a linear pattern.
A set of more than two points (x,y) fits an exponential pattern if and only if the set of transformed points (x, in y) fits a linear pattern.
Exponential Regression
A graphing calculator that preforms exponential regression uses all of the original data to find the best fitting model.
Writing Power Functions
A power function has the form y=ax^b. Because there are only two constants (a and b), only two points are needed to determine a power curve through the points.
A graphing calculator that preforms exponential regression uses all of the original data to find the best fitting model.
Writing Power Functions
A power function has the form y=ax^b. Because there are only two constants (a and b), only two points are needed to determine a power curve through the points.
Transforming power DataA set of more than two points (x,y) fits a power pattern if and only if the set of translated points (lnx, lny) fits a linear pattern.
Power Regression
A graphing calculator that preforms power regression uses all of the original data to find the best fitting model.
A graphing calculator that preforms power regression uses all of the original data to find the best fitting model.