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Moderate

Average Rate of Change

GRE-XACGNY

Compare Quantity A and Quantity B.

Given that $f(x)=-3{ x }^{ 2 }+6x+72$:

Quantity A: the average rate of change between $x=-3$ and $x=5$

Quantity B: the average rate of change between $x=0$ and $x=2$

Which of the following statements is true?

A

Quantity A is greater.

B

Quantity B is greater.

C

The two quantities are equal.

D

The relationship cannot be determined from the information given.