SOLUTION: analyze the graph of the function: R(x)= x^4+x^+10/x^2-100 What is the domain of R(x) what is the equation of the vertical asymptotes of R(x) wthat is the equation of the horiz

Algebra ->  Functions -> SOLUTION: analyze the graph of the function: R(x)= x^4+x^+10/x^2-100 What is the domain of R(x) what is the equation of the vertical asymptotes of R(x) wthat is the equation of the horiz      Log On


   



Question 239720: analyze the graph of the function:
R(x)= x^4+x^+10/x^2-100
What is the domain of R(x)
what is the equation of the vertical asymptotes of R(x)
wthat is the equation of the horizontal or oblique asymptote of R(x)

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
R(x)= x^4+x^2+10/x^2-100 Assuming that this is the problem.
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Domain:
x^2-100
=(x-10)(x+10) Factor.
So x cannot equal 10 or -10 because there would be a division by zero error.
Domain= All real numbers except 10 & -10.
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Vertical asymptotes are at 10 & -10
.
There is no horizontal or slant asymptote because the power of x in the numerator is greater than the power of x in the denominator by 2 degrees.
.
Ed
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