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MathNet 2021 — Part 02 Question 97

Math Olympiad Vault · MathNet 2021 — Part 02

Question 97

In the plane rectangular coordinate system, the graph of function $y = \frac{x+1}{|x|+1}$ has three different points lying on line $l$, and the sum of the abscissas of these three points is $0$. Find the range of values of the slope of $l$.