Concepts covered in this course include: standard functions and their graphs ... Students are encouraged to have a TI-83 or TI-84 graphing calculator for Math 111 and Math 112. Calculators are used ...

Mathematical Background: We expect that the student is comfortable with basic mathematics at the level of a U.S. first-year college STEM student. This includes basic notions such as sets and functions ...

Instead of writing Function = multiply by 3 we can use algebra. Graphically, \(f(x) = x^2\) is the same as the graph of \(y = x^2\). Writing graphs as functions in the form of \(f(x)\) is useful ...

If \(f(x) = x^2\), then \(af(x) = a(x^2)\). This tells us that we need to multiply each of the \(y\) coordinates on the graph by \(a\) in order to stretch the original graph. Looking at some ...