Let f be a continuous function on the closed interval [-3,6]. If f(-3)=-1 and S(6) = 3, then the Intermediate Value Theorem guarantees that' (A) f(0)=0 (B) f(c)= for at least one c between-3 and 6 (C) -1s f(x) S3 for all x between-3 and 6 (D) f(c)=1 for at least one c between-3 and 6 (E) f(c)=0 for at least one c between-1 and 3
Let f be a continuous function on the closed interval [-3,6]. If f(-3)=-1 and S(6) = 3, then the Intermediate Value Theorem guarantees that' (A) f(0)=0 (B) f(c)= for at least one c between-3 and 6 (C) -1s f(x) S3 for all x between-3 and 6 (D) f(c)=1 for at least one c between-3 and 6 (E) f(c)=0 for at least one c between-1 and 3
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![Let \( f \) be a continuous function on the closed interval \([-3, 6]\). If \( f(-3) = -1\) and \( f(6) = 3\), then the Intermediate Value Theorem guarantees that:
(A) \( f(0) = 0 \)
(B) \( f'(c) = \frac{4}{9} \) for at least one \( c \) between \(-3\) and \(6\)
(C) \(-1 \leq f(x) \leq 3\) for all \( x \) between \(-3\) and \(6\)
(D) \( f(c) = 1\) for at least one \( c \) between \(-3\) and \(6\)
(E) \( f(c) = 0\) for at least one \( c \) between \(-1\) and \(3\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3bc5ec6-5243-476b-bc1c-dda0d5fd6b41%2F4fe335c2-5427-41e2-a452-1acf5d6db14a%2Ff5mbs3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let \( f \) be a continuous function on the closed interval \([-3, 6]\). If \( f(-3) = -1\) and \( f(6) = 3\), then the Intermediate Value Theorem guarantees that:
(A) \( f(0) = 0 \)
(B) \( f'(c) = \frac{4}{9} \) for at least one \( c \) between \(-3\) and \(6\)
(C) \(-1 \leq f(x) \leq 3\) for all \( x \) between \(-3\) and \(6\)
(D) \( f(c) = 1\) for at least one \( c \) between \(-3\) and \(6\)
(E) \( f(c) = 0\) for at least one \( c \) between \(-1\) and \(3\)
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