A continuous function y f(x) is known to be negative at x = 2 and positive at x=7. Why does the equation f(x) =0 have at least one solution between x=2 and x= 7? Illustrate with a sketch. Why does the equation f(x) = 0 have at least one solution between x=2 and x = 7? O A. f(x) = 0 has at least one solution between x= 2 and x=7 because f(x) must pass through all values between f(2) and f(7), regardless of whether f is continuous. O B. f(x) = 0 has at least one solution between x=2 and x = 7 because all continuous functions have at least one zero over any nonempty closed interval. OC. f(x) = 0 has at least one solution between x= 2 and x= 7 because f is a continuous function on the closed interval (2, 7], and if yo is any value between f(2) and f(7), then yo = f(c) for some c in [2, 7] Choose a graph below that illustrates the situation. OA. OB. OD. Ay Ay
A continuous function y f(x) is known to be negative at x = 2 and positive at x=7. Why does the equation f(x) =0 have at least one solution between x=2 and x= 7? Illustrate with a sketch. Why does the equation f(x) = 0 have at least one solution between x=2 and x = 7? O A. f(x) = 0 has at least one solution between x= 2 and x=7 because f(x) must pass through all values between f(2) and f(7), regardless of whether f is continuous. O B. f(x) = 0 has at least one solution between x=2 and x = 7 because all continuous functions have at least one zero over any nonempty closed interval. OC. f(x) = 0 has at least one solution between x= 2 and x= 7 because f is a continuous function on the closed interval (2, 7], and if yo is any value between f(2) and f(7), then yo = f(c) for some c in [2, 7] Choose a graph below that illustrates the situation. OA. OB. OD. Ay Ay
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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![A continuous function y f(x) is known to be negative at x = 2 and positive at x=7. Why does the equation f(x) =0 have at least one solution between x =2 and x= 7? Illustrate with a sketch.
Why does the equation f(x) = 0 have at least one solution between x=2 and x = 7?
O A. f(x) = 0 has at least one solution between x= 2 and x=7 because f(x) must pass through all values between f(2) and f(7), regardless of whether f is continuous.
O B. f(x) = 0 has at least one solution between x = 2 and x = 7 because all continuous functions have at least one zero over any nonempty closed interval.
OC. f(x) = 0 has at least one solution between x=2 and x=7 because f is a continuous function on the closed interval (2, 7], and if yo is any value between f(2) and f(7), then yo = f(c) for some c in [2, 7]
Choose a graph below that illustrates the situation.
O A.
OB.
Oc.
OD.
Ay](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f387d37-142b-4ae7-9ba8-86abf81e85b3%2Fb2c23bab-d016-4775-a430-32800053e7e9%2Fjj4u49d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A continuous function y f(x) is known to be negative at x = 2 and positive at x=7. Why does the equation f(x) =0 have at least one solution between x =2 and x= 7? Illustrate with a sketch.
Why does the equation f(x) = 0 have at least one solution between x=2 and x = 7?
O A. f(x) = 0 has at least one solution between x= 2 and x=7 because f(x) must pass through all values between f(2) and f(7), regardless of whether f is continuous.
O B. f(x) = 0 has at least one solution between x = 2 and x = 7 because all continuous functions have at least one zero over any nonempty closed interval.
OC. f(x) = 0 has at least one solution between x=2 and x=7 because f is a continuous function on the closed interval (2, 7], and if yo is any value between f(2) and f(7), then yo = f(c) for some c in [2, 7]
Choose a graph below that illustrates the situation.
O A.
OB.
Oc.
OD.
Ay
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