9514 1404 393
Answer:
- 7
- -1 2/3
- 4
Step-by-step explanation:
The average rate of change of a function f(x) on interval [a, b] is the slope of the line through points (a, f(a)) and (b, f(b)). The slope formula tells you that is ...
m = (f(b) -f(a))/(b -a)
1) The rate of change in the interval [1, 2] is ...
rate of change = (2³ -1³)/(2 -1) = (8 -1)/1 = 7
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2) rate of change = ((√4 -8) -(√1 -2))/(4 -1) = (-6-(-1))/3 = -5/3
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3) rate of change = (11 -(-1))/(5 -2) = 4
