Letf: R→ R be continuous. Suppose that f(1) = 4,f(3) = 1 and f(8) = 6. Which of the following MUST be TRUE? (1) f has no zero in (1,8). (II) The equation f(x) = 2 has at least two solutions in (1,8). Select one: Oa. Both of them O b. (II) ONLY O c. (1) ONLY Od. None of them

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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Let f: R → R be continuous. Suppose that f(1) = 4,f(3) = 1 and f(8) = 6. Which of the following MUST be
TRUE?
(1) f has no zero in (1,8).
(II) The equation f(x) = 2 has at least two solutions in (1,8).
Select one:
Oa. Both of them
O b. (II) ONLY
O c. (1) ONLY
Od. None of them
Transcribed Image Text:Let f: R → R be continuous. Suppose that f(1) = 4,f(3) = 1 and f(8) = 6. Which of the following MUST be TRUE? (1) f has no zero in (1,8). (II) The equation f(x) = 2 has at least two solutions in (1,8). Select one: Oa. Both of them O b. (II) ONLY O c. (1) ONLY Od. None of them
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