Explanation Given: A table x 1 2 3 4 f(x) 2 2.83 3.46 4 We need to use few points from the data set given to identify the unknown values ofa and b. We can use two points (1, 2), (4,4) to construct two equations. After constructing the two equations we need to solve them to find the value of a and b which can be substituted back in the model to get the final answer Formula Used: f ( x ) = a x b Calculation: Description f ( x ) = a x b Step 1: Substituting ( 1 , 2 ) for ( x , f ( x ) ) in the function, we get the value of a 2 = a ( 1 ) b ⇒ 2 = a Step 2: Substituting ( 4 , 4 ) for

5th Edition

ISBN: 9780321845092

Author: Rockswold

Publisher: YUZU

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Chapter 4.8, Problem 9CBC

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The function $f (x) = a x^{b}$ so that function models the data exactly.

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The function f ( x ) = a x b so that function models the data exactly.

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The function f(x)=axb so that function models the data exactly.

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The function $f (x) = a x^{b}$ so that function models the data exactly.