A rational function is a mathematical function that can be expressed as the ratio of two polynomial functions. It can be written in the form f(x) = p(x)/q(x), where p(x) and q(x) are both polynomial functions and q(x) is not equal to 0. What is the domain of a rational fu...
find the domain of the functionFollow • 1 Add comment 2 Answers By Expert Tutors Best Newest Oldest ZOREH S. answered • 08/29/22 Tutor 5 (13) Master's Degree in Math About this tutor › The first part of the f(x) is defined only when x + 1 > or = 0 meaning X ...
Efficient Low Order Approximation for Surface Impedance Boundary Conditions in Finite-Difference Time-Domain Method The surface impedance function of a lossy medium is approximated with a series of first-order rational functions by using the vector fitting (VF) ... VD Santis,S Cruciani,M Feliziani,...
Then the domain is all x-values other than ±32±23, and the two vertical asymptotes are at x=±32x=±23. Next I'll turn to the issue of horizontal or slant asymptotes. Since the degrees of the numerator and the denominator are the same (each being 2), then this rational has a no...
We only need the terms that will make up the equation of the line. The slant asymptote is y = 5x - 15.Practice: Find the slant asymptote of each rational function:Answers: 1) y = x - 9 2) 3) y = x 4) y = x + 7 ...
Rational Functions - Finding Vertical Asymptotes: SMART Board Resource for Algebra 2 (Grades 6-12) (eLesson Plan)
An asymptote is a line that the graph of a function approaches but never touches. Rational functions contain asymptotes, as seen in this example: In this example, there is a vertical asymptote at x = 3 and a horizontal asymptote at y = 1. The curves approach these asymptotes but never cr...
Stated mathematically, the period of a function is a real number a such that f(x+a) = f(x) for all x in the domain of f. The sine function is expressed by the equation f(x)=sin(x), and its graph looks like this: The sine function f(x) = sin(x) Highlighted here is the ...
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A rational function will have a slant or oblique asymptote if the degree of the numerator is exactly one higher than the degree of the denominator. How do you find the slant asymptote? The slant asymptote can be found using the limit method shown in the lesson, or for rational functions by...