Mathematics

Mathematics

Problem

Consider the monomial function f(x)=kxnf(x)=kx^n, where k>0k>0 and nn is a positive even integer. Which one of the following properties does the graph of ff necessarily have? a) It is symmetric about the yy-axis and possesses a single global maximum at the origin. b) It is symmetric about the yy-axis and possesses a single global minimum at the origin. c) It is symmetric about the origin and possesses a single global minimum at the origin. d) It is symmetric about the yy-axis and possesses two equal global minima away from the origin.

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