SOLUTION: For the given equation, list the intercepts and test for symmetry.
y= 3x/x^2 +81
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Question 671829: For the given equation, list the intercepts and test for symmetry.
y= 3x/x^2 +81
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Substitute 0 for 
:
}{(0)^2\ +\ 81}\ =\ \frac{0}{81}\ =\ 0)
Hence both the and 
intercepts are the origin, )
A function is symmetric with respect to the axis iff \ =\ -f(a))
Hence, not symmetrical with respect to the axis.
A function is symmetric with respect to the axis iff \ =\ f(-a))
}{(-x)^2\ +\ 81}\ =\ -\frac{3x}{x^2\ +\ 81})
Hence, not symmetrical with respect to the axis.
A function is symmetric with respect to the origin iff \ =\ -f(-a))
}{(-x)^2\ +\ 81}\ =\ \frac{3x}{x^2\ +\ 81})
Hence, the function is symmetrical with respect to the origin.
John
My calculator said it, I believe it, that settles it
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