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MathNet 2012 Question 45

Math Olympiad Vault · MathNet 2012

Question 45

Among the functions below, which takes the value $0$ exactly twice?
(A) $f(x) = \sin x - 1$
(B) $f(x) = |x^2 - 1| - 2$
(C) $f(x) = e^x - 1$
(D) $f(x) = |2x - 1|$
(E) $f(x) = x - 1$