Show that the equation x - 11x+7=0 has three solutions in the interval [-4, 4]. Let f(x) be equal to the left side of the equation. Where do the solutions to the equation exist? O A. Solutions exist at values of x, and x, if f(x,)< f(x2) or f(x,)> f(X2). O B. Solutions exist between values of x, and x, if f(x, )s0 and f(x2)20 or f(x, ) 20 and f(x2)s0. OC. Solutions exist between values of x, and x, if f(x, )s0 and f(x,)50 or f(x,) 20 and f(x)20. OD. Solutions exist at values of x, and x, if 0sf(x,)s f(x2) or 02 f(x,) 2 f(x2).

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.7: Puzzle Problems
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Show that the equation x - 11x +7=0 has three solutions in the interval [-4, 4].
Let f(x) be equal to the left side of the equation. Where do the solutions to the equation exist?
OA. Solutions exist at values of x, and x, if f(x,)<f(X2) Or f(x,)> f(x2).
B. Solutions exist between values of x, and x, if f(x,)<0 and f(x,) 20 or f(x,) 20 and f(x2)s0.
OC. Solutions exist between values of x, and x, if f(x, )s0 and f(x,2)50 or f(x,) 20 and f(x2)20.
O D. Solutions exist at values of x, and x, if 0sf(x,) sf(x2) or 02 f(x,) f(x2).
Transcribed Image Text:Show that the equation x - 11x +7=0 has three solutions in the interval [-4, 4]. Let f(x) be equal to the left side of the equation. Where do the solutions to the equation exist? OA. Solutions exist at values of x, and x, if f(x,)<f(X2) Or f(x,)> f(x2). B. Solutions exist between values of x, and x, if f(x,)<0 and f(x,) 20 or f(x,) 20 and f(x2)s0. OC. Solutions exist between values of x, and x, if f(x, )s0 and f(x,2)50 or f(x,) 20 and f(x2)20. O D. Solutions exist at values of x, and x, if 0sf(x,) sf(x2) or 02 f(x,) f(x2).
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