Find the average rate of change of f(x)=2x^2-7x from x=2 to x=5

Mathematics

1 answer:

m_a_m_a [10]2 years ago

3 0

Answer:

Step-by-step explanation:

The average rate of change of f(x) in the close interval [ a, b ] is

$\frac{f(b)-f(a)}{b-a}$

Here [ a, b ] = [2, 5 ]

f(b) = f(5) = 2(5)² - 7(5) = 50 - 35 = 15

f(a) = f(2) = 2(2)² - 7(2) = 8 - 14 = - 6, thus

average rate of change = $\frac{15-(-6)}{5-2}$ = $\frac{21}{3}$ = 7

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