Winter temperatures tend to be cold in the city of Johnstown. The table of values represents the temperature of Johnstown during one winter week. t (days) f(t) (°F) 1 6 2 5 3 1 4 -2 5 -1 6 0 7 -3 Part A Use the table to approximate the key features of the function. Find the extrema, zeros, end behavior, increasing and decreasing intervals, and positive and negative intervals.
Two friends decide to go on a four-hour ride on off-road vehicles through mountainous terrain. The graph represents their elevation (in hundreds of feet) as a function of time (in hours). The ride started 2,000 feet above sea level, so for the purposes of this problem, assume the x-axis represents an elevation of 2,000 feet.
Part A
Find the key features of the graph. That is, find the extrema, zeros, end behavior, increasing and decreasing intervals, and positive and negative intervals.
Part B
Interpret the key features from part A in the context of the problem.
Part C
Interpret the domain and the range of the function in the context of the problem.
Winter temperatures tend to be cold in the city of Johnstown. The table of values represents the temperature of Johnstown during one winter week.
| t (days) |
f(t) (°F) |
|---|---|
| 1 | 6 |
| 2 | 5 |
| 3 | 1 |
| 4 | -2 |
| 5 | -1 |
| 6 | 0 |
| 7 | -3 |
Part A
Use the table to approximate the key features of the function. Find the extrema, zeros, end behavior, increasing and decreasing intervals, and positive and negative intervals.
Part B
Interpret the key features from part A in the context of the problem.
Part C
Interpret the domain and the range of the function in the context of the problem.
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