Question

Let $f$ be a continuous function on the closed interval $[1, 5]$, where $f(1) = 1$ and $f(5) = -3$. Which of the following is guaranteed by the Intermediate Value Theorem? Choose 1 answer: A $f(c) = 2$ for at least one $c$ between $-3$ and $1$ B $f(c) = 2$ for at least one $c$ between $1$ and $5$ C $f(c) = -2$ for at least one $c$ between $-3$ and $1$ D $f(c) = -2$ for at least one $c$ between $1$ and $5$

          Let $f$ be a continuous function on the closed interval $[1, 5]$, where $f(1) = 1$ and $f(5) = -3$.
Which of the following is guaranteed by the Intermediate Value Theorem?
Choose 1 answer:
A $f(c) = 2$ for at least one $c$ between $-3$ and $1$
B $f(c) = 2$ for at least one $c$ between $1$ and $5$
C $f(c) = -2$ for at least one $c$ between $-3$ and $1$
D $f(c) = -2$ for at least one $c$ between $1$ and $5$

Let f be a continuous function on the closed interval [1, 5], where f(1) = 1 and f(5) = -3.
Which of the following is guaranteed by the Intermediate Value Theorem?
Choose 1 answer:
A f(c) = 2 for at least one c between -3 and 1
B f(c) = 2 for at least one c between 1 and 5
C f(c) = -2 for at least one c between -3 and 1
D f(c) = -2 for at least one c between 1 and 5

Added by Debra E.

Calculus: Early Transcendentals

James Stewart 8th Edition

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e., one is positive and the other is negative), then there exists at least one value c between a and b such that f(c) = 0. In this case, the function f(x) = ana f(x) is not given, so we cannot determine whether f(a) and f(b) have opposite signs. Show more…

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Lol/ The continuous function on the closed interval [1,5], where f (x) = ana f(x) Which of the following is guaranteed by the Intermediate Value Theorem? Choose answer: 2 for at least one value between 1 and 5 and f(c) for at least one value between 1 and 5