Apentix/AP Calculus BC/Unit 1: Limits and Continuity/Question
AP Calculus BCmediumstimulus-mcq1 pt

A continuous function ff is defined on the closed interval [1,6][1, 6]. Selected values of ff are given in the table. On which of the following intervals does the Intermediate Value Theorem guarantee a solution to f(x)=0f(x) = 0?

Explanation

Core Concept

Since ff is continuous on [1,6][1, 6], it is continuous on [1,3][1, 3]. Because f(1)=−4<0f(1) = -4 < 0 and f(3)=2>0f(3) = 2 > 0, the Intermediate Value Theorem guarantees at least one root in the interval (1,3)(1, 3).

Correct Answer

ivt_1_3

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