Answer:
- (-3, -1) — 1/2
- (-3, 1) — 3/4
- (-1, 2) — 2/3
Explanation:
You want the average rate of change of the graphed function on the given intervals.
Average rate of change
The average rate of change is the "rise" over the interval, divided by the "run", the length of the interval.
(-3, -1)
The rise is from -2 at the left end to -1 at the right end, a rise of 1 unit. The width of the interval is -1 -(-3) = 2.
The average rate of change is 1/2.
(-3, 1)
The rise is from -2 at the left end to 1 at the right end, a rise of 3 units. The width of the interval is 1 -(-3) = 4.
The average rate of change is 3/4.
(-1, 2)
The rise is from -1 at the left end to 1 at the right end, a rise of 2 units. The width of the interval is 2-(-1) = 3 units.
The average rate of change is 2/3.
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