Find all of the asymptotes of the function f(x)=\frac{x^2-3}{x-4}. Find the Vertical asymptote and the oblique asymptote. Find the slant asymptotes. f(x) = (sqrt(x^4 + x^3 tanh x + x^2))/(x + 1). Find the horizontal asymptotes of the curve. y=...
A rational function can have a vertical asymptote, horizontal asymptote, or slant asymptote depending on the degrees of the numerator and the denominator. Answer and Explanation: Become a Study.com member to unlock this answer! Create your account View this answer ...
Find a formula for a function that has vertical asymptotes x = 4 and x = 9 and horizontal asymptote y = 4. Find the vertical asymptote, horizontal asymptote and the slant asymptote of the following function. f(x) = (2x^3 - 5x^2 - 19x + 1)/(x^2 - 9) ...
For Part (a) we want to find the equation of the non-vertical asymptote for the functionf(x)=(6x3+9x2+3x+1)(4x2+7x+3)if... Learn more about this topic: Vertical, Horizontal & Slant Asymptotes | Functions & Limits from Chapter 12/ Lesson 7 ...
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(s)itcontainsare partialderivatives. Orderofadifferentialequation Theorderofadifferentialequationisequaltotheorderofthehighest derivativeitcontains. Examples: (1)y′+y 5 =t 2 e −t (firstorderODE) (2)cos(t)y′−sin(t)y=3tcos(t)(firstorderODE) (3)y″−3y′+2y=e 2t cos(5t)(...
A vertical asymptote refers to a specific value (or set of values) which, if equated to the independent variable (x), will result in the function (f(x)) becoming undefined. This means that the function will not exist at those specific x-values. What are the rules for vertical asymptotes...
If b greater than 1, what is the horizontal asymptote of y = a b^t | as t to - infinity. Enter an equation for the line that is the horizontal asymptote. Estimate the horizontal asymptote of the function f (x) = 3 x^3 + 500 x^2...
Graph {eq}f(x) = \frac{1}{x + 3} {/eq} then draw the horizontal asymptote and write the equation for the horizontal asymptote. Horizontal Asymptotes: Sometimes the graph of a line or equation, when extended until infinity, approaches a horizontal...
For example, we can determine the asymptote of a function on the points where a function is undefined. Answer and Explanation: Domain of the function {eq}\begin{align} y(x)= \frac{3x}{1-x}\\[0.3cm] 1-x=0 && \{ x=1 \} \\[0.3cm]\\ \implies ...