find the horizontal asymptote, if any, of the graph of the rational function. h(x)=11x³/(4x² + 3) select the…
find the horizontal asymptote, if any, of the graph of the rational function. h(x)=11x³/(4x² + 3) select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the horizontal asymptote is. (type an equation.) b. there is no horizontal asymptote.
Answer
Explanation:
Step1: Compare degrees of polynomials
The degree of the numerator $n = 3$ (for $11x^{3}$) and the degree of the denominator $m=2$ (for $4x^{2}+3$). Since $n>m$.
Step2: Determine asymptote type
When the degree of the numerator is greater than the degree of the denominator of a rational - function, there is no horizontal asymptote.
Answer:
B. There is no horizontal asymptote.