Asked by Raymone
Use algebra to determine the location of the vertical asymptotes and holes in the graph of the function. (Enter your answers from smallest to largest.)
g(x)= 2x^2/x^4-x^2
g(x)= 2x^2/x^4-x^2
Answers
Answered by
MathMate
Vertical asymptotes occur typically where the denominator equals zero.
So to determine these points, which are also holes on the graph, solve for the points where the denominator = 0, i.e.
x^4-x^2=0
x²(x²-1)=0
x=0 or ±x=1
So to determine these points, which are also holes on the graph, solve for the points where the denominator = 0, i.e.
x^4-x^2=0
x²(x²-1)=0
x=0 or ±x=1
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