Milestone 4: Feeding Frenzy

F-BF.A1C: Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.

F-BF.B3: Identify the effect on the graph of replacing f(x) by f(x) + k, k f(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.

F-BF.B4B: Verify by composition that one function is the inverse of another.

F-BF.B4C: Read values of an inverse function from a graph or a table, given that the function has an inverse.

F-BF.B4D: Produce an invertible function from a non-invertible function by restricting the domain.

F-IF.B4: For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.

F-IF.C7: Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.