Are You Ready?

 

Complete these questions. If you experience difficulty and need help, visit Refresher or contact your teacher.

1. Write y = 3x2 − 4x + 5 in function notation. Answer
2. A football leaves a field goal kicker’s foot at 64 ft/s. The distance, D(t), in feet, that the football is above the field at any time, t, in seconds, is given by the function D(t) = −16t2 + 64t.
   1. Create a table of values, being careful to pick appropriate values of t. (It does not make sense to use negative values for time in this context.) Answer
   2. From the table of values, create a graph of the function. Answer
   3. What is the maximum height that the football reaches? At what time does that occur? How did you figure that out? Answer
   4. How would you express the point (4, 0) in function notation, and what do the values of the point indicate in the context of the problem? Answer
3. 1. Evaluate h(8) given that h(x) = −x + 2. Answer
   2. Evaluate p(4) given that p(n) = 2n + 4. Answer

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