Mathematics

Mathematics

Problem

Consider the function g(x)=x23(x−2)g(x)=x^{\tfrac{2}{3}}(x-2), which is defined for all real xx. Which statement correctly describes the behavior of gg at x=0x=0? a) gg is not defined at x=0x=0 b) gg attains a relative minimum at x=0x=0 c) gg attains a relative maximum at x=0x=0 d) gg has neither a relative maximum nor a relative minimum at x=0x=0

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