document.write( "Question 1197707: Which of the following functions, if any, is an odd function?
\n" ); document.write( "A) f(X)=3X^2+5
\n" ); document.write( "B) f(X)= absolute value of (X-2)
\n" ); document.write( "C) f(X)=cos(X)+7 \n" ); document.write( "

Algebra.Com's Answer #831108 by Shin123(626) $\"\"$ $\"About$

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A function f(x) is odd if -f(x)=f(-x) for all values of x.
\n" ); document.write( "a) $\"f%28-x%29=3%28-x%29%5E2%2B5=3x%5E2%2B5=f%28x%29\"$
\n" ); document.write( "Since f(-x) does not equal -f(x), it is not odd.
\n" ); document.write( "b) $\"f%28-x%29=abs%28-x-2%29\"$ and $\"-f%28x%29=-abs%28x-2%29\"$
\n" ); document.write( " $\"abs%28-x-2%29\"$ does not equal $\"-abs%28x-2%29\"$ , so it is not odd.
\n" ); document.write( "c) $\"f%28-x%29=cos%28-x%29%2B7=cos%28x%29%2B7=f%28x%29\"$
\n" ); document.write( "f(-x) does not equal -f(x), so it is not odd.\r
\n" ); document.write( "\n" ); document.write( "Therefore, none of the three functions are odd. \n" ); document.write( "

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