This table represents function f.



If function g is a quadratic function that contains the points ( -3, 5 ) and ( 0, 14 ), which statement is true over the interval [ -3, 0 ] ?

A. The average rate of change of f is the same as the average rate of change of g.

B. The average rate of change of f is less than the average rate of change of g.

C. The average rate of change of f is more than the average rate of change of g.

D. The average rates of change of f and g cannot be determined from the given information.

This table represents function f If function g is a quadratic function that contains the points 3 5 and 0 14 which statement is true over the interval 3 0 A The class=

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Answer:

Correct answer (B) For Plato users

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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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