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Sergeeva-Olga [200]
3 years ago
5

The table below shows the function f.

Mathematics
1 answer:
Illusion [34]3 years ago
3 0

Answer:

C

Step-by-step explanation:

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

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

Here the closed interval is [ 3, 7 ]

f(b) = f(7) = \frac{47}{6}

f(a) = f(3) = \frac{17}{2}

f(7) - f(3) = \frac{47}{6} - \frac{17}{2} = - \frac{2}{3}

Thus

\frac{-\frac{2}{3} }{7-3}

= \frac{-\frac{2}{3} }{4}

= - \frac{2}{3} × \frac{1}{4} = - \frac{1}{6}

Average rate of change = - \frac{1}{6} → C

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