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Chapter 3: Q. 17 (page 174)
In Problems 15鈥�17, determine whether the given quadratic function has a maximum value or a minimum value, and then find the value.
The quadratic function has a maximum value. The maximum value is 4.
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The marginal cost of a product can be thought of as the cost of producing one additional unit of output. For example, if the marginal cost of producing the 50th product is \(6.20, it cost \)6.20 to increase production from 49 to 50 units of output. Suppose the marginal cost C
(in dollars) to produce x thousand mp3 players is given by the function
(a) How many players should be produced to minimize the marginal cost?
(b) What is the minimum marginal cost?
If then
(a) Determine the slope and y-intercept of each function.
(b) Use the slope and y-intercept to graph the linear function.
(c) Determine the average rate of change of each function.
(d) Determine whether the linear function is increasing, decreasing, or constant.
True or False The average rate of change of is
Can a quadratic function have a range of ? Justify your answer.
An accepted relationship between
stopping distance, d (in feet), and the speed of a car, v (in mph), is on dry, level concrete.
(a) How many feet will it take a car traveling 45 mph to stop on dry, level concrete?
(b) If an accident occurs 200 feet ahead of you, what is the maximum speed you can be traveling to avoid being involved?
(c) What might the term represent?
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