Let f be a function of x. Which of the following statements, if true, would guarantee that there is a number c in the interval [-5, 4] such that f (c) = 12? (A) B C D f is increasing on the interval [-5, 4], where f(-5) = 0 and ƒ (4) = 20. f is increasing on the interval [-5, 4], where f(-5) = 15 and f (4) = 30. f is continuous on the interval [-5, 4], where f(-5) = 0 and f (4) = 20. f is continuous on the interval [-5, 4], where f(-5) = 15 and ƒ (4) = 30.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 63RE
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Question
Let f be a function of x. Which of the following statements, if
true, would guarantee that there is a number c in the interval
[-5, 4] such that f (c) = 12?
A
B
(C)
D
f is increasing on the interval [-5, 4],
where f(-5) = 0 and f (4) = 20.
f is increasing on the interval [-5, 4],
where f(-5) = 15 and f (4) = 30.
f is continuous on the interval [-5, 4],
where f(-5) = 0 and f (4) = 20.
f is continuous on the interval [-5, 4],
where f(-5) =
= 15 and f (4) = 30.
Transcribed Image Text:Let f be a function of x. Which of the following statements, if true, would guarantee that there is a number c in the interval [-5, 4] such that f (c) = 12? A B (C) D f is increasing on the interval [-5, 4], where f(-5) = 0 and f (4) = 20. f is increasing on the interval [-5, 4], where f(-5) = 15 and f (4) = 30. f is continuous on the interval [-5, 4], where f(-5) = 0 and f (4) = 20. f is continuous on the interval [-5, 4], where f(-5) = = 15 and f (4) = 30.
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