Which of the following statements regarding functions is NOT mathematically correct?

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Mathematics · Mathematical Economics

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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Any convex function is quasiconvex, and the converse statement also universally holds true.

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Answer 1

Any convex function is quasiconvex, and the converse statement also universally holds true.

Answer 2

Any concave function is quasiconcave, but the converse is not necessarily true.

Answer 3

If f(x) is a linear function, then it is both quasiconcave and quasiconvex.

Answer 4

If f(x) is a quasiconcave function, then -f(x) is a quasiconvex function.

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