Question

If the degree of the leading coefficient of the numerator is equal to the degree of the leading coefficient of the denominator of a rational function, what is the graph?

Answer 1

Answer:

5 coffcient g variable ok bye

Answer 2

If the degree of the leading coefficient of the numerator is equal to the degree of the leading coefficient of the denominator of a rational function, the graph is a horizontal asymptote.

• Assume two functions with the same degree to be p(x) and q(x) and their leading coefficient to be a and b.
• Now, if the degree of the denominator is equal to the degree of the numerator, there will be a horizontal asymptote at y = $\frac{a}{b}$, where a and b are the leading coefficients of p(x) and q(x) respectively for f(x)=$\frac{p(x)}{q(x)}$ .
• For example, in f(x)=$\frac{3x^2+4}{x^2+4x+2}$ , the degree of the numerator is the same as the degree of the denominator. Thus, the horizontal asymptote is at y=3.