9514 1404 393
Answer:
a) 1/2
b) 1/2
Explanation:
a) The average rate of change is the slope of the segment whose end points are the ends of the interval. On the interval [2, 8] the average rate of change is ...
m = (f(8) -f(2))/(8 -2) = (4 -1)/6 = 3/6 = 1/2
The average rate of change on the interval [2, 8] is 1/2.
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b) In this context, "slope" and "average rate of change" mean the same thing. A line with the same slope will have a slope of 1/2.