SOLUTION: Please help me with the following problem. Any help you can provide is appreciated! Determine whether the graph of y= 3x/(x^2-4) is symmetric with respect to the x-axis, the y-axi

Algebra ->  Rational-functions -> SOLUTION: Please help me with the following problem. Any help you can provide is appreciated! Determine whether the graph of y= 3x/(x^2-4) is symmetric with respect to the x-axis, the y-axi      Log On


   



Question 170200: Please help me with the following problem. Any help you can provide is appreciated!
Determine whether the graph of y= 3x/(x^2-4) is symmetric with respect to the x-axis, the y-axis, and/or the origin. Please show how you get the answer.

Found 2 solutions by Fombitz, checkley77:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's graph the function first.
+graph%28+300%2C+200%2C+-5%2C+5%2C+-10%2C+10%2C++3x%2F%28x%5E2-4%29%29+
It's not symmetric to either the x-axis, the y-axis, or the origin.
If you took the positive portion of the graph, flipped it over the x-axis and then flipped it over the y-axis, you would end up the negative portion of the graph.
f%28x%29=-f%28-x%29

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
y=3x/(x^2-4)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-15%2C+10%2C+3x+%2F+%28x%5E2+-4%29%29+ (graph 300x200 pixels, x from -6 to 5, y from -15 to 10, 3x / (x^2 -4)).
Graph is symmetrical to the x & Y axis as well as the origin.