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f(x) is an odd function and the graph of f contains the point (6,5). which of the...

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nani2006 | Student, Grade 10 | Honors

Posted July 30, 2013 at 5:30 PM via web

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f(x) is an odd function and the graph of f contains the point (6,5). which of the following points is also on the graph of f?

a. (-6,5)

b. (-6,-5)

c. (-5,-6)

d. (6,-5)

e. (5,6)

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aruv | High School Teacher | Valedictorian

Posted July 30, 2013 at 5:48 PM (Answer #1)

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Correct answer is D because

f(x) is an odd function.

so f(-x)=-f(x)

snce (-6,5) lies on the graph of f(x)

f(-6)=5

so let x=-6

f(-(-6))=-f(-6)=-5

f(6)=-5

i.e (6,-5) lies on the graph of  f(x).

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