The graphs of and are considered

MATHEMATICS · Single correct · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

The graphs of f(x)=x3−6xf(x)=x^3-6x and g(x)=x4+2x2+1g(x)=x^4+2x^2+1 are considered. Which of the following statements correctly compares BOTH their symmetry and their range? (a) ff is odd with range R\mathbb{R}; gg is even with range R\mathbb{R} (b) ff is even with range R\mathbb{R}; gg is even with range [1,∞)[1,\infty) (c) ff is odd with range R\mathbb{R}; gg is even with range [1,∞)[1,\infty) (d) ff is odd with range [0,∞)[0,\infty); gg is even with range [1,∞)[1,\infty)

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