MathAnalysisCalculusNumerical functions

Power Functions

Determining power function by graph

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Knowing that the graph of the power function $f(x)$ goes through the points $(64,4)$ and $(1,0.25)$ , determine $f(x)$ . Take notice that the image is schematic.

The graph of the power function

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f(x) = 4x^{-\frac{3}{2}}

f(x) = \frac{320}{273 x} + \frac{85x}{1092} - 1

f(x) = \frac{1}{2}x^{-\frac{2}{3}}

f(x) = \frac{1}{4}x^{\frac{2}{3}}

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