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There are 8 lessons in this math tutorial covering Exponential Graphs. The tutorial starts with an introduction to Exponential Graphs and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific math lesson as required to build your math knowledge of Exponential Graphs. you can access all the lessons from this tutorial below.
In this Math tutorial, you will learn:
- What are exponential functions?
- What are the names of the elements in the formula of an exponential function?
- What is the simplest form of an exponential function? How do we call it?
- How to plot the graph of an exponential function?
- What is the asymptote of an exponential function graph?
- How does the sign of coefficients in an exponential function affect the orientation and size of an exponential curve?
- How to find the formula of an exponential function from its graph?
- How to deal with exponential functions with a negative base?
- How to deal with exponential functions that have Euler's number as a base?
- What are some applications in the practice of exponential functions?
Introduction
Imagine the following scenario: The bacteria in a food sample doubles every hour. If the initial number of bacteria in the sample was 24, what is the number of bacteria in the sample after 3 hours? 8 hours? 1 day? What mathematical equation do you use to find this relationship?
This is a typical example of exponential functions, which are very common in practice. This is why we have created a separate tutorial (the current one) dealing with them.
Please select a specific "Exponential Graphs" lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.
Types of Graphs Learning Material| Tutorial ID | Math Tutorial Title | Tutorial | Video
Tutorial | Revision
Notes | Revision
Questions |
|---|
| 15.5 | Exponential Graphs | | | | |
| Lesson ID | Math Lesson Title | Lesson | Video
Lesson |
|---|
| 15.5.1 | What are Exponential Functions? | | |
| 15.5.2 | Exponential Function's Graph. Asymptotes of Exponential Graphs | | |
| 15.5.3 | Plotting Exponential Graphs | | |
| 15.5.4 | How the Value of the Base a Affects the Graph Shape? | | |
| 15.5.5 | How do the Values of the Other Coefficients Affect the Graph? | | |
| 15.5.6 | Finding the Formula of the Exponential Function from its Graph | | |
| 15.5.7 | Exponential Graphs with Negative Base | | |
| 15.5.8 | Exponential Graphs that Involve Euler's Number | | |
Whats next?
Enjoy the "Exponential Graphs" math tutorial? People who liked the "Exponential Graphs" tutorial found the following resources useful:
- Math tutorial Feedback. Helps other - Leave a rating for this tutorial (see below)
- Types of Graphs Revision Notes: Exponential Graphs. Print the notes so you can revise the key points covered in the math tutorial for Exponential Graphs
- Types of Graphs Practice Questions: Exponential Graphs. Test and improve your knowledge of Exponential Graphs with example questins and answers
- Check your calculations for Types of Graphs questions with our excellent Types of Graphs calculators which contain full equations and calculations clearly displayed line by line. See the Types of Graphs Calculators by iCalculator™ below.
- Continuing learning types of graphs - read our next math tutorial: Circle Graphs
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