The average rate of change of the function f(x) on the interval 0 ≤ x ≤ 3 is 4.17
How to determine the average rate of change of the function f(x) on the interval 0 ≤ x ≤ 3?
The equation of the function is given as:
y = f(x)
The graph of the function f(x) is added as an attachment
From the attached graph, we have the following function values at the given interval
f(0) = -5
f(3) = 7.5
The average rate of change of the function f(x) on the interval 0 ≤ x ≤ 3 is calculated using:
Average rate of change = [f(b) - f(a)]/[b - a]
Where
(a, b) = (0, 3)
So, we have:
Average rate of change = [f(3) - f(0)]/[3 - 0]
Substitute the known values in the above equation
Average rate of change = [7.5 - -5]/[3 - 0]
Evaluate the difference
Average rate of change = [12.5]/[3]
Evaluate the quotient
Average rate of change = 4.17
Hence, the average rate of change of the function f(x) on the interval 0 ≤ x ≤ 3 is 4.17
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