Exponential function rules are the mathematical guidelines for functions that take the form of f(x) = b^x, where the base is a positive real number. With these functions, the growth rate is proportional to their value.
The exponential parent function is the most basic form of an exponential function. From the general form of an exponential function y = ab^x, an exponential parent function has a value for a equal to one. Therefore, the exponential parent function is written simply as y = b^x.
Exponential functions were created by two men, John Napier and Joost Burgi, independently of each other. Napier was from Scotland, and his work was published in 1614, while Burgi, a native of Switzerland, developed his work in 1620.
To graph exponential functions, create a table of values first, calculating the values for f(x) according to the function given. Each pair of numbers constitutes the coordinates for the points to be drawn on the graph. X will give a coordinate for the x-axis, and f(x) is the coordinate for the y-axi
Transformations of exponential functions occur when the function changes to shift the graph to the left, right, up, down or in reverse. An exponential function can be reversed by adding a negative sign in front of the exponent.
A worksheet is an instructional tool that allows a learner to put concepts and ideas into practice. A worksheet may be used to help a student practice a mathematical process, connect ideas, review key points from a reading and more.
A linear function is graphed as a straight line and contains one independent variable and one dependent variable, whereas an exponential function has a rapid increase or decrease along a curved line in a graph. Linear functions, or equations, take the form "y = a + bx," in which "x" is the dependent
School worksheets are educational tools that allow a student to practice the different concepts of various subjects. School worksheets are also an excellent resource for teachers and parents to give a student in order to gauge how well the student understands a particular subject.
The inverse of an exponential function is a logarithm function. An exponential function written as f(x) = 4^x is read as "four to the x power." Its inverse logarithm function is written as f^-1(y) = log4y and read as "logarithm y to the base four."
Busy Teacher's Cafe, SchoolExpress and TLSBooks offer free, downloadable worksheets in many subject areas and grade levels. Accessing and downloading the worksheets requires an Internet-connected computer with a printer. Most free worksheets are PDF files that can be saved on a computer and printed.