SOLUTION: Find the vertical asymptotes, if any, of the graph of the rational function.
f(x) = x^4 + 3x^3 - 5x^2 - 9x - 2
A. {1, -2, -2 + SQRT3, -2 - SQRT5}
B. {-1, -2, -2 + SQ
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Question 949294: Find the vertical asymptotes, if any, of the graph of the rational function.
f(x) = x^4 + 3x^3 - 5x^2 - 9x - 2
A. {1, -2, -2 + SQRT3, -2 - SQRT5}
B. {-1, -2, -2 + SQRT5, -2 - SQRT5}
C. {-1, 3, -2 +SQRT5 , -2 -SQRT5 }
D. {-1, 2, -2 +SQRT3 , -2 -SQRT3 }
Found 2 solutions by josgarithmetic, Fombitz:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Your f(x) is not a rational function and has no asymptotes. Polynomial functions do not have asymptotes.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
I think you're looking for the roots and not the asymptotes here, because there are no asymptotes.
Looks like and are both roots.
That greatly narrows the choices of answers down.
I would suggest plugging in each value into the equation to verify that they are indeed solutions.
Example:
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