Research Questions
Upon completion of this section you will be competent enough to answer the following:
- What is a relation?
- What is a function?
- Are all relations functions?
- Are all functions relations?
- What is meant by the domain?
- What is meant by the range?
- What do we use the vertical line test for?
- What is an injective (one-to-one) function?
- What is the algebraic method of determining if a function is injective?
- What is the horizontal line test used for?
- What is a surjective function?
- What is a bijective function?
- How do we find the inverse of a function?
- What is the geometric relationship of the inverse function to the original function?
- Can we find the inverse of a function which is not bijective?
- What is meant by the composition of two functions?
- Show that $ff^{-1}(x)=x$ and $f^{-1}f(x)=x$
- What transformations can we apply to functions?