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3 Power functions versus exponential functions Recall A power function is a function that can...

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Calculus

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3 Power functions versus exponential functions Recall A power function is a function that can be represented in the form f x kx where k and p are constants and k is known as the coefficient 5 Let y f x x and g x 2 a Complete the table x y f x x y g x 2x 2 1 0 1 2 Is f x a power function Answer Is g x a power function Answer b Plot the points you found from part a 3 14 12 10 8 6 4 2 3 2 1 Note g x 2 is an exponential function with base 2 g x 14 12 10 8 6 4 2 X

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