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There are 8 lessons in this math tutorial covering Basic Functions. The tutorial starts with an introduction to Basic Functions 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 Basic Functions. you can access all the lessons from this tutorial below.
In this Math tutorial, you will learn:
- What is a linear function? What are its domain and range?
- When a linear function is increasing/decreasing/constant?
- What is a quadratic function? What are its domain and range?
- What is the gradient of a quadratic function?
- How to find the equation of the tangent line with a quadratic function at a given point?
- What are some special points used to plot the graph of a quadratic function?
- How to find the tangent line with a quadratic function at a given point by using the gradient?
- How to find the tangent line with a cubic function at a given point by using the gradient?
- How to find the local maximum/minimum of a function?
- What specifics does the domain of square root function have?
- What are the commonalities and differences of exponential and logarithmic functions? How to deal with each of them?
- What is absolute value? How to deal with absolute value functions?
- What can you say about the domain and range of exponential/logarithmic/square root functions?
- What is a reciprocal function? What about its domain and range?
- What are the asymptotes of a function? How to find them?
- How to find the gradient of an exponential/logarithmic/reciprocal function?
Introduction
So far, we have discussed the concept of functions as a special mathematical relation where every input has in correspondence a single output. All the three types of function - injective, surjective and bijective - meet the above description, i.e. every input has in correspondence a single output.
The graph of a function is another concept we have often referred to when dealing with functions as a very important element that helps understand better the relationship between variables in a function.
Now, in this tutorial, we will briefly deal with functions you will encounter more frequently in algebra. These contain some of the most important features including domain, codomain, range, gradient, graph, etc.
Please select a specific "Basic Functions" 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.
Functions Learning Material| Tutorial ID | Math Tutorial Title | Tutorial | Video
Tutorial | Revision
Notes | Revision
Questions |
|---|
| 16.3 | Basic Functions | | | | |
| Lesson ID | Math Lesson Title | Lesson | Video
Lesson |
|---|
| 16.3.1 | Linear Functions | | |
| 16.3.2 | Quadratic Functions | | |
| 16.3.3 | Cubic Functions | | |
| 16.3.4 | Exponential Function | | |
| 16.3.5 | Logarithmic Function | | |
| 16.3.6 | Square Root Function | | |
| 16.3.7 | Absolute Value Function | | |
| 16.3.8 | Reciprocal Function | | |
Whats next?
Enjoy the "Basic Functions" math tutorial? People who liked the "Basic Functions" tutorial found the following resources useful:
- Math tutorial Feedback. Helps other - Leave a rating for this tutorial (see below)
- Functions Revision Notes: Basic Functions. Print the notes so you can revise the key points covered in the math tutorial for Basic Functions
- Functions Practice Questions: Basic Functions. Test and improve your knowledge of Basic Functions with example questins and answers
- Check your calculations for Functions questions with our excellent Functions calculators which contain full equations and calculations clearly displayed line by line. See the Functions Calculators by iCalculator™ below.
- Continuing learning functions - read our next math tutorial: Composite Functions
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