Kira wanted to study how the area of a rectangle changes with the length of its width is fixed. She computed the areas of several rectangles that have the same width and different lengths. She then plotted the results and connected them with a line, as shown above. The graph shows the area (in cm ^2) versus the length (in cm). Find the range and the domain of the function shown in the picture above.

Write your answers as inequalities, using x or y as appropriate. Or, you may instead clock on “empty set” or “all reals” as the answer.

A. Range: _

B. Domain: _

In one day there are too high tides into low tides and equally spaced intervals the high tide is observed to be 6 feet above the average sea level after six hours passed a low tide occurs at 6 feet below the average sea level in this task you will model this occurrence using a trigonometric function by using x as a measurement of time assume the first high tide occurs at x=0. a. what are the independent and dependent variables? b. determine these key features of the function that models the tide: 1.amplitude 2.period 3.frequency 4.midline 5.vertical shift 6.phase shift c. create a trigonometric function that models the ocean tide for a period of 12 hours. d. what is the height of the tide after 93 hours?