Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.
HSF.IF.C.7.D (+)
Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.
HSF.BF.A.1.A
Determine an explicit expression, a recursive process, or steps for calculation from a context.
HSF.BF.A.1.B
Combine standard function types using arithmetic operations.
HSF.BF.B.3(A2)
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. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.
