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05-01-2021
Mathematics

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What is the average rate of change of f(x) = 5x – 7 from x = -3 to x = 7?

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05-01-2021

Answer:

[tex]f(x) = 5x - 7 \\ change = f(7) - f( - 3) \\ = ((5)(7) - 7) - ((5)( - 3) - 7) \\ = (35 - 7) - ( - 15 - 7) \\ = (28) - ( - 22) \\ = 50 \\ average \: change = \frac{change}{2} \\ = \frac{50}{2} \\ = 25[/tex]

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