# Exponential Functions Worksheets

What Are Exponential Functions? In mathematics, there are different types of functions. These include linear functions, quadratic functions, cubic functions, and exponential functions. The exponential functions are very important in mathematics, which is why it is crucial for students to have a complete understanding of this concept. An example of a simple exponential function is f(9 x 0) = 2x. These functions are solutions of a dynamic system and can represent growth or decay. The exponential functions are distinguished from a fact that the growth rate of such a function is directly proportional to the value of the function. Growth of bacteria, radiation decay, continuously compounding interest, are all examples of exponential functions. These have many applications in real life, including model populations, carbon date artefacts, help coroners determine the time of death, compute investments, and many others.

• ### Basic Lesson

Guides students solving equations that involve Exponential Functions. Demonstrates answer checking. If the graph crosses the y-axis at (0,1); when b > 1,the graph increases; when 0 < b < 1, the graph decreases the domain is all real number ;the range is all positive real numbers (never zero); graph passes the vertical line test - it is a function; graph passes the horizontal line test - its inverse is also a function. graph is asymptotic to the x-axis - gets very, very close to the x-axis but does not touch it or cross it.

• ### Intermediate Lesson

Demonstrates how to solve more difficult problems. Is the function y= 3.4x the same as the function y=12x. No, the function are not same because in the first function, exponent is first applied and then multiplied with 3, and in second function answer can be obtained by putting the value of x.

• ### Independent Practice 1

A really great activity for allowing students to understand the concept of the exponential functions.

• ### Independent Practice 2

Students find the value of exponential functions in assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with problems to achieve the concepts of the exponential functions.

• ### Skill Quiz

This tests the students ability to evaluate math statements with the exponential functions.