SOLUTION: Which of the following functions, if any, is an odd function?
A) f(X)=3X^2+5
B) f(X)= absolute value of (X-2)
C) f(X)=cos(X)+7
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Question 1197707: Which of the following functions, if any, is an odd function?
A) f(X)=3X^2+5
B) f(X)= absolute value of (X-2)
C) f(X)=cos(X)+7
Answer by Shin123(626) (Show Source): You can put this solution on YOUR website!
A function f(x) is odd if -f(x)=f(-x) for all values of x.
a)
Since f(-x) does not equal -f(x), it is not odd.
b) and
does not equal , so it is not odd.
c)
f(-x) does not equal -f(x), so it is not odd.
Therefore, none of the three functions are odd.
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