Maths - Functions and Mappings
Flashcards
What is the domain of a function?
The set of all possible inputs.
What is the range of a function?
The set of all possible outputs.
What is the range of a function sometimes called?
The codomain.
What is a mapping?
A transformation from one set of numbers into a different set of numbers.
When is a mapping a function?
When every input has a distinct output.
Other than a one-to-one function, what’s another type of mapping that is also a function?
A many-to-one function.
How could you write the range of a function that has to be greater than $0$?
\[f(x) \ge 0\]
2021-07-07
Instead of solving
\[f(x) = f^{-1}(x)\]
What can you solve instead?
\[f(x) = x \\\\
f^{-1}(x) = x\]
Instead of solving
\[fg(x) = 7\]
What can you solve instead?
\[g(x) = f^{-1}(x)\]