Question: A continuous function has domain all real numbers. If f(-1)=5 and f(1)=-5, explain why must have at least one zero in the interval [-1,1]. (This
A continuous function has domain all real numbers. If f(-1)=5 and f(1)=-5, explain why must have at least one zero in the interval [-1,1]. (This generalizes to a property of continuous functions known as the Intermediate Value Theorem.)
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