Let f(x) be a function on (- 0, 0) and f(x + 2) = f(x - 2). If f(x) = 0 has only three real roots in [O, 4] and one of them is 4, then the number of real roots of f(x) = 0 in (- 8, 10] is

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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Let f(x) be a function on (- ∞, ∞) and f(x + 2) = f(x – 2). If
f (x) = 0 has only three real roots in [0, 4] and one of them is 4,
then the number of real roots of f(x) = 0 in (- 8, 10] is
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Transcribed Image Text:Let f(x) be a function on (- ∞, ∞) and f(x + 2) = f(x – 2). If f (x) = 0 has only three real roots in [0, 4] and one of them is 4, then the number of real roots of f(x) = 0 in (- 8, 10] is %3D %3D |
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