What is the asymptote of the curve (x + 1)/x? Find the oblique asymptote of x^3 + y^3 = 3 a x^2. Find the oblique or slant asymptote to f(x) = \frac{x^3-4x^2+8x+2}{x^2-2x+2} Find the oblique or slant asymptote to f(x) = (x^3 - 4x^2 + 8x + 2)/(x^2 ...
What is an Asymptote? Introduction to Asymptotes The graph can be easily interpreted if the bounds of the graph are known. The limits which bound the function are called asymptotes. The graph of the example functionC(t) is again drawn for convenience. The asymptote of the graph in the ...
Vertical asymptote: Curve approaches a vertical line as function grows. Oblique (slant) asymptote: Curve approaches a diagonal line. Answer and Explanation: We are given: r=31−2cosθ We have to find the asymptote, which refers to the behavior of the curve asr... ...
This is because these are the bad spots in the domain. Can a rational function have more than one horizontal asymptotes? A rational function can have at most one horizontal or oblique asymptote, and many possible vertical asymptotes; these can be calculated. What is horizontal asymptote of a ...
oblique asymptote. To determine the equation of a slant asymptote, we have to divide the given rational function until we get the equation of a straight line in the quotient. To determine the equation of vertical asymptote, we have to factorize the denominator a...
What is {eq}c {/eq} if the line {eq}y = c {/eq} is a horizontal asymptote of {eq}f(x) = \dfrac{5(x + 1)(2x - 7)}{12(x - 1)(x - 4)} {/eq}? Horizontal Asymptotes: The behavior of a real-valued function of one variable at infi...
What are the vertical asymptotes for cscθ,cotθ,tanθ, and secθ? Vertical Asymptotes: As the input variable gets closer to a particular value, the function moves towards a vertical asymptote, which is a vertical line on a graph that it approaches but does ...
Find vertical, horizontal, and oblique asymptotes. What is the vertical asymptote of f(x) = \frac{x^3+2}{x+5}? What is the vertical asymptote y=1/(x+6) + 5? What is the horizontal asymptote of y = 2^(x - 1)? What is the horizontal asymptote for y = (4x)/(x ...
What are the asymptotes of the hyperbola \frac{(x - 14)^{2{18} - \frac{(y + 12)^{2{8} = 1? Find the horizontal, vertical, and oblique asymptote(s) of f(x) (if any). f(x) = sin x/x How to find horizontal asymptotes (2x - 3) / (x...
A rational function is a type of function written in ratio form. An example of a rational function is the function {eq}f(x)=\frac{1}{x} {/eq}. A rational function has asymptotes such as the vertical and the horizontal asymptote and sometimes oblique asymptote....