The true statement over the interval [-3, 0] is: B. average rate of change of function f is less than that of function g.
What is the Average Rate of Change of a Function?
Over a given interval, the average rate of change of a function is found using the formula: change in y / change in x = f(b) - f(a) / b - a.
Average rate of change of function g over [-3, 0]:
a = -3, f(a) = 5
b = 0, f(b) = 14
Average rate of change = (14 - 5)/(0 - (-3)) = 3
Average rate of change of function f over [-3, 0]:
a = -3, f(a) = -4.5
b = 0, f(b) = 0
Average rate of change = (0 - (-4.5))/(0 - (-3)) = 1.5
Therefore, the correct answer is: B. average rate of change of function f is less than that of function g.
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