find any horizontal or vertical asymptotes. f(x)= - 6x² / 16 - x² find the vertical asymptote(s). select the…

find any horizontal or vertical asymptotes. f(x)= - 6x² / 16 - x² find the vertical asymptote(s). select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. a. the function has one vertical asymptote, . (type an equation.) b. the function has two vertical asymptotes. the leftmost asymptote is and the rightmost asymptote is . (type equations.) c. the function has no vertical asymptotes.

find any horizontal or vertical asymptotes. f(x)= - 6x² / 16 - x² find the vertical asymptote(s). select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. a. the function has one vertical asymptote, . (type an equation.) b. the function has two vertical asymptotes. the leftmost asymptote is and the rightmost asymptote is . (type equations.) c. the function has no vertical asymptotes.

Answer

Explanation:

Step1: Find values for vertical asymptotes

Set the denominator equal to zero: $16 - x^{2}=0$.

Step2: Solve the equation

Factor the left - hand side: $(4 + x)(4 - x)=0$. Then $4+x = 0$ gives $x=-4$ and $4 - x=0$ gives $x = 4$.

Answer:

B. The leftmost asymptote is $x=-4$ and the rightmost asymptote is $x = 4$