A.1
B.13/5
C.85/13
D.17
f(x) = (√x + 4)²
f(4) = (√4 + 4)² = (2 + 4)² = 36
f(9) = (√9 + 4)² = (3 + 4)² = 49
Average rate of change
= (f(9) − f(4)) / (9−4)
= (49−36)/5
= 13/5
rule
the average rate of change of a function y= f(x) over the interval [a,b] is (f(b)-f(a))/(b-a)
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Answers & Comments
f(x) = (√x + 4)²
f(4) = (√4 + 4)² = (2 + 4)² = 36
f(9) = (√9 + 4)² = (3 + 4)² = 49
Average rate of change
= (f(9) − f(4)) / (9−4)
= (49−36)/5
= 13/5
rule
the average rate of change of a function y= f(x) over the interval [a,b] is (f(b)-f(a))/(b-a)