Economics · Mathematical Economics
Which of the following statements regarding mathematical functions is NOT correct?
- 1Any convex function is quasiconvex, and its converse also holds true.✓
- 2Any concave function is quasiconcave, but the converse is not true.
- 3If f(x) is a linear function, then it is both quasiconcave and quasiconvex.
- 4If f(x) is quasiconcave, then -f(x) is quasiconvex.
Correct answer
Any convex function is quasiconvex, and its converse also holds true.
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