| (a) |
Sketch the graph of a function that is the sum, difference, product, or quotient of two functions whose graphs are given. |
| (b) |
Write the equation of a function that results from the sum, difference, product, or quotient of two or more functions. |
| (c) |
Develop, generalize, explain, and apply strategies for determining the domain and range of a function that is the sum, difference, product, or quotient of two other functions. |
| (d) |
Write a function as the sum, difference, product, or quotient (or some combination thereof ) of two or more functions. |
| (e) |
Develop, generalize, explain, and apply strategies for determining the composition of two functions: $\table f(f(x)); f(g(x)); g(f(x))$ |
| (f) |
Develop, generalize, explain, and apply strategies for evaluating a composition of functions at a particular point. |
| (g) |
Develop, generalize, explain, and apply strategies for sketching the graph of composite functions in the form: $\table f(f(x)); f(g(x)); g(f(x))$ where the equations or graphs of $f(x)$ and $g(x)$ are given. |
| (h) |
Write a function as a composition of two or more functions. |
| (i) |
Write a function by combining two or more functions through operations on, and compositions of, functions. |
