A Unit Jump Equation

★ 7/10functions algebra Polynomials Casework Discriminant

Problem

Let $f(x) = \dfrac{x+1}{x^2+1}$ . Find the number of real solutions of

\left|f(x+1) - f(x)\right| = 1.

Answer

Solution

Difficulty	7/10
Topics	functions, algebra, Polynomials, Casework, Discriminant

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