standard_description: 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.
problem_activity: Sylvia bikes home along a straight road from her friend’s house, a distance of 8 miles. The graph shows her journey:
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Describe what may have happened. Be sure to include details about her pace, points that indicate a change in action, and where she starts and stops.
Are all sections of the graph realistic? Explain your reasoning.


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