graph all vertical and horizontal asymptotes of the rational function. f(x) = (3x - 1)/(-x^2 - 2)
graph all vertical and horizontal asymptotes of the rational function. f(x) = (3x - 1)/(-x^2 - 2)
Answer
Explanation:
Step1: Find vertical asymptotes
Set the denominator equal to 0: $-x^{2}-2 = 0$. Rearranging gives $x^{2}=- 2$. Since there are no real - valued solutions for $x$ (because the square of a real number is non - negative), there are no vertical asymptotes.
Step2: Find horizontal asymptotes
Degree of numerator $n = 1$ and degree of denominator $m = 2$. When $n<m$, the horizontal asymptote is $y = 0$.
Answer:
Vertical asymptotes: None Horizontal asymptote: $y = 0$