Chapter 4 - Section 4.1 - Properties of Linear Functions and Linear Models - 4.1 Assess Your Understanding: 3

$\text{average rate of change} =18$

Work Step by Step

The average rate of change of a function from $x=a$ to $x=b$ is given by the formula: $\text{average rate of change} = \dfrac{f(b)-f(a)}{b-a}$ Use the formula above to obtain: $$\\= \dfrac{f(4)-f(2)}{4-a} \\=\dfrac{(3\cdot4^2-2)-(3\cdot 2^2-2)}{4-2} \\=\dfrac{(3\cdot16-2)-(3\cdot 4-2)}{2} \\=\dfrac{(48-2)-(12-2)}{2} \\=\dfrac{46-10}{2} \\=\dfrac{36}{2} \\=18$$

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