Mathematics

Mathematics

Problem

Consider the function f:R→Rf:\mathbb{R}\to\mathbb{R} given by f(x)=x1+∣x∣f(x)=\dfrac{x}{1+|x|}. Which of the following statements is true about ff? a) ff is not surjective because its range is (0,1)(0,1). b) ff is not surjective because its range is (−1,1)(-1,1). c) ff is surjective because its range is (−1,1)(-1,1). d) ff is not surjective because its range is [−1,1][-1,1].

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