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Chapter 3: Q. 9 (page 136)
If the slope m of the graph of a linear function is________, the function is increasing over its domain.
If slope of the graph of a linear function is positive then function is increasing over its domain.
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Solve:
In Problems 21–28, determine whether the given function is linear or nonlinear. If it is linear, determine the equation of the line .
| x | |
| -2 | 4 |
| -1 | 1 |
| 0 | -2 |
| 1 | -5 |
| 2 | -8 |
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
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?
Graph the function by starting with the graph of and using transformations (shifting, compressing, stretching, and/or reflection). Verify your results using a graphing utility.
Hint: If necessary, write in the form .
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