Judgment Time In a psychology experiment, people improved their ability to recognize common verbal and semantic information with practice. Their judgment time after t days of practice was f(t) = .36 + .77(t − .5)−.36 seconds.
(a) Display the graphs of f(t) and f′(t) in the window [.5, 6] by [−3, 3]. Use these graphs to answer the following questions.
(b) What was the judgment time after 4 days of practice?
(c) After how many days of practice was the judgment time about .8 second?
(d) After 4 days of practice, at what rate was judgment time changing with respect to days of practice?
(e) After how many days was judgment time changing at the rate of −.08 second per day of practice?
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