Statement I Range of is not

MATHEMATICS · Subjective · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

Statement I Range of f(x)=x(e2x−e−2xe2x+e−2x)+x2+x4f(x) = x \left( \frac{e^{2x} - e^{-2x}}{e^{2x} + e^{-2x}} \right) + x^2 + x^4 is not RR. Statement II Range of a continuous even function cannot be RR.

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