To find the average rate of change of a function over an interval, you can use the formula:
average rate of change = (f(b) - f(a))/(b - a)
In this case, the interval is from a = 1 to b = 5.
Therefore, the average rate of change of f(x) = 2x - 1 over the interval 1 ≤ x ≤ 5 is:
= [f(5) - f(1)] / (5 - 1)
= [2(5) - 1 - (2(1) - 1)] / 4
= [10 - 1 - 2 + 1] / 4
= [9 - 2] / 4
= 7 / 4
= 1.75
So, the average rate of change is 1.75. None of the given options match this value exactly.
What is the average rate of change of f(x)=2x−1 over the interval 1≤x≤5 ?
A) 7.5
B) 5
C) 8
D) -7.5
1 answer
1 answer