MathAnalysisCalculusNumerical functions

Power Functions

Theory

Monotonic power functions

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Given a function f(x)=−2xpf(x) = - 2 x^{p}. For different values of pp, tell if it increases or decreases in the (0;+∞)(0;+\infty) domain. Match function behavior with the value of pp.

Match the items from left and right columns
p=53p = \frac{5}{3}
p=−1710p = - \frac{17}{10}
Decrease
Increase
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