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A superadditive function $f(\cdot)$ satisfies the following property $$f\left ( x_{1} +x_{2}\right )\geq f\left ( x_{1} \right ) + f\left ( x_{2} \right )$$

Which of the following functions is a superadditive function for $x > 1$?

  1. $e^{x}$
  2. $\sqrt{x}$
  3. $1/x$
  4. $e^{-x}$
in Numerical Ability by (1.4k points)
edited ago by

1 Answer

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Solve it using exploring the options

Let $X_{1}$ = 2 and $X_{2}$ = 3

A. f(x) = $e^{x}$

      $e^{5}$ > $e^{2}$ + $e^{3}$ ( using the calculator)

it satisfies the condition so option A is correct.

by (380 points)
Answer:
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