Interpret key features of graphs and tables in terms of quantities, and sketch graphs showing key features given a verbal description of the relationship.
Graph functions expressed symbolically and show key features, by hand in simple cases and using technology for more complicated cases.
Combine and compose functions.
Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs.
Find inverse functions.
Identify zeros of polynomials when suitable factorizations are available.