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

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

Explanation

Core Concept

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

Correct Answer

ivt_1_3

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