WebPrecalculus questions and answers. Give values for the constants a,b, and n so that the rational function f (x)=b+3x4axn+2 has a horizontal asymptote at y=3. If there is no restriction on a,b, or n, enter NA in the corresponding answer field. a= b=. Question: Give values for the constants a,b, and n so that the rational function f (x)=b+3x4axn ... Web1. A rational function is a function that can be expressed as a ratio of two polynomials. It will have both a horizontal and vertical asymptote because as the denominator of the fraction approaches zero, the function will approach infinity or negative infinity depending on the sign of the numerator.

Graphing rational functions 1 (video) Khan Academy

WebAs the degree in the numerator is higher than the degree in the denominator, there will be no horizontal asymptote. The general rule of horizontal asymptotes, where n and m is the … WebAny rational function has at most 1 horizontal or oblique asymptote but can have many vertical asymptotes. A horizontal asymptote can be defined in terms of derivatives as well. In a nutshell, a function has a horizontal asymptote if, for its derivative, x approaches infinity, the limit of the derivative equation is 0. merelyrblx twitter

Solved A rational function of the form f(x)=cx+dax+b has a - Chegg

WebThe three types of asymptotes are vertical asymptote, horizontal asymptote, and oblique asymptote. The best place to start is with vertical asymptotes. What are vertical … WebThe horizontal asymptote of a function is a horizontal line to which the graph of the function appears to coincide with but it doesn't actually coincide. The horizontal … WebHorizontal asymptotes can take on a variety of forms. Figure 1.36(a) shows that \(f(x) = x/(x^2+1)\) has a horizontal asymptote of \(y=0\), where 0 is approached from both … how old is tina fey 2021