A continuous function y (x) is known to be negative at x 0 and positive at x 1 Why does the equation (x) 0 have at least one solution between x 0 and x 1 Illustrate with a sketch

Question: A continuous function y = (x) is known to be negative at x = 0 and positive at x = 1. Why does the equation

A continuous function y = ƒ(x) is known to be negative at x = 0 and positive at x = 1. Why does the equation ƒ(x) = 0 have at least one solution between x = 0 and x = 1? Illustrate with a sketch.

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