Chapter 1 Section 3
Notes
Linguistic Mapping Exercises
Knowledge Checks
Take \(X=\{1,3,4\}\) and \(Y=\{0,1\}\). Write down all elements of \(X\times Y.\)
Take \(\mathbb{R}\) to be the set of real numbers. Denote by \(Y\) and \(r\) the sets \[Y=\{-1,2,3\}\quad\text{and}\quad r=\{(1.5,-1),(\pi,2),(-100,-1)\}\] where \(r\) is a subset of \(\mathbb{R}\times Y\). State the natural domain, co-domain, domain, and range of \(r\).
Take \(X=\{1,3,4\}\) and \(Y=\{0,1\}\). Define a function from \(X\) to \(Y\).
Take \(X=\{1,3,4\}\) and \(Y=\{0,1\}\). Define a relation \(X\) to \(Y\) that is not a function.
Take \(f\) to be a function whose graph is given below. Find the domain and range of the function and find the largest intervals on which the function is strictly increasing and strictly decreasing.
- Find all the extremal values of the function below in the interval \([-7,6].\)
Remember, do the knowledge checks before checking the solutions.