Answer:
- domain: (-∞, ∞); range: (-2, ∞)
- average rate of change on [1, 0] is 2.
Explanation:
The domain is the horizontal extent: (-∞, ∞).
The range is the vertical extent: (-2, ∞).
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To find the average rate of change, we first must locate the points on the graph at the ends of the interval:
(0, -1), (1, 1)
The average rate of change is computed as ...
(f(0) -f(1))/(0 -1) = (-1 -1)/(-1) = 2
The average rate of change on the interval [1, 0] is 2.
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Comment on the problem statement
We usually expect to see an interval designated with the left end first. That is, the interval between 0 and 1 would normally be written as [0, 1].