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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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 .
Plot the points in the Cartesian plane. Is the relation a function? Why?
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
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 | -26 |
| -1 | -4 |
| 0 | 2 |
| 1 | -2 |
| 2 | -10 |
In Problems 7–22, solve each inequality.
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