Suppose the function f is continuous on the closed interval (1, 2], f(1) = 5, and f(2) = 9. Then, from the Intermediate Value Theorem we can conclude that..(select all that app Remaining time: 46:24 (min:sed DA. there must exist at least one number c between 1 and 2 such that f(c) = 7.5. OB. f(1.5) = 7. OC. for any value of y between 5 and 9, there exists at least one number c between 1 and 2 such that f(c) = N. OD. there must exist at least one number c between 1 and 2 such that f(c) = 10. Consider the function f(x) = 6.5a - cos(a) +7 on the interval 0

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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Suppose the function f is continuous on the closed interval [1, 2], f(1) = 5, and f(2) = 9. Then, from the Intermediate Value Theorem we can conclude that..(select all that app Remaining time: 46:24 (min:sec
OA. there must exist at least one number c between 1 and 2 such that f(c) = 7.5.
OB. f(1.5) = 7.
OC. for any value of y between 5 and 9, there exists at least one number c between 1 and 2 such that f(c) = N.
OD. there must exist at least one number c between 1 and 2 such that f(c) = 10.
Consider the function f(x) = 6.5x – cos(æ) + 7 on the interval 0 < a <1. The Intermediate Value Theorem quarantees that for certain values of N there is a number c such that f(c) = N. In the case of the
function above, what, exactly, does the intermediate value theorem say? To answer, fill in the following mathematical statements, giving an interval with non-zero length in each case.
(You do not need to calculate the decimal expansion of cos(b) you can just use the term cos(b) in your answer.)
For every N in the interval
<N<
there is a c in the interval
<c<
such that f(c) = N.
Transcribed Image Text:Suppose the function f is continuous on the closed interval [1, 2], f(1) = 5, and f(2) = 9. Then, from the Intermediate Value Theorem we can conclude that..(select all that app Remaining time: 46:24 (min:sec OA. there must exist at least one number c between 1 and 2 such that f(c) = 7.5. OB. f(1.5) = 7. OC. for any value of y between 5 and 9, there exists at least one number c between 1 and 2 such that f(c) = N. OD. there must exist at least one number c between 1 and 2 such that f(c) = 10. Consider the function f(x) = 6.5x – cos(æ) + 7 on the interval 0 < a <1. The Intermediate Value Theorem quarantees that for certain values of N there is a number c such that f(c) = N. In the case of the function above, what, exactly, does the intermediate value theorem say? To answer, fill in the following mathematical statements, giving an interval with non-zero length in each case. (You do not need to calculate the decimal expansion of cos(b) you can just use the term cos(b) in your answer.) For every N in the interval <N< there is a c in the interval <c< such that f(c) = N.
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