In this post, we learn about graphing sum, difference, product and composite functions and how to consider their domains and ranges where possible. This is part of the VCE Maths Methods course under the topic Functions and Graphs and sub-part Composite Functions, Transformations and Inverses.
- Sum of two functions: (f+g)(x) = f(x) + g(x)
- Difference of two functions: (f-g)(x) = f(x) - g(x)
- Product of two functions: (f \times g)(x) = f(x) \times g(x)
- Quotient of two functions: (f \div g)(x) = f(x) \div g(x) ( g(x) \neq 0 )
The following video introduces composite functions.
This video explores the idea of domain and range of composite functions.
The Sum, Difference, Product and Quotient Between Two Functions
The following three videos cover worked and well-explained explained examples.
The following video introduces power functions, and how to describe them using words such as increasing and decreasing, concavity and end behaviour.
Want to learn more? Check out more of our VCE Mathematics resources here!