We begin this class with a graphing challenge (the graph of which we will see at a later point). We then go over some problems from the first homework, section 1.1 in the text. We then moved on to some more essential functions. We discussed polynomials in the last lecture, so now we move on to power functions, reciprocal functions, rational functions, and trig functions. (Two important kinds of functions not covered here are log functions and exponential functions--those you will see in calc 2). We also discuss ways of obtaining new functions from old ones, such as transformations and compositions. We did not discuss adding, subtracting, multiplying or dividing functions, but this is knowledge that you're expected to have (i.e. how to create f + g, f - g, f*g, f/g for functions f and g, and analyze their properties, such as domains).
