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30-12-2022
Mathematics

Answered

Consider the circle whose equation is x ^ 2 + y ^ 2 = 1 and a continuous function function f : mathbb R mathbb R such that the point (x_{0}, f(x_{0})) is in the circle and the point (x_{1}, f(x_{1})) is out side of the circle. Show that the graph of f always intersect with the circle at least at one point.

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