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[MA2010] AL1 (9-12) 31: Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.* [F-IF7] [MA2010] AL1 (9-12) 33: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). [F-IF9] [MA2010] AL1 (9-12) 34: Write a function that describes a relationship between two quantities.* [F-BF1] [MA2010] AL1 (9-12) 36: 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. [F-BF3] Digital Tool Description: TopNotes is a powerful app for handwriting and organizing notes, sketches, diagrams, illusions and drawings.