To find a vertical asymptote, first write the function you wish to determine the asymptote of. Most likely, this function will be a rational function, where the variable x is included somewhere in the denominato
To find a vertical asymptote, first write the function you wish to determine the asymptote of. Most likely, this function will be a rational function, where the variable x is included somewhere in the denominator. As a rule, when the denominator of a rational function approaches zero, it has...
Recommended Lessons and Courses for You Related Lessons Related Courses Horizontal Asymptote | Overview, Rules & Examples Horizontal vs. Vertical Asymptote Limits | Overview & Calculation Vertical Asymptote | Equation, Formula & Rules Vertical, Horizontal & Slant Asymptotes | Functions & Limits ...
Notice that, while the graph of a rational function will never cross a vertical asymptote, the graph may or may not cross a horizontal or slant asymptote. Also, although the graph of a rational function may have many vertical asymptotes, the graph will have at most one horizontal (or sla...
An asymptote is defined as a line that a function will never cross. Instead, the function will approach this line indefinitely but never reach or touch it. The x=2 is a vertical asymptotefrom the previous graph. As x approaches two from the right and left sides, the function goes to pos...
Notice that, while the graph of a rational function will never cross a vertical asymptote, the graph may or may not cross a horizontal or slant asymptote. Also, although the graph of a rational function may have many vertical asymptotes, the graph will have at most one horizontal (or slant...
This makes the horizontal asymptote the line y = -10/3 Vertical asymptotes are determined by setting the denominator equal to zero. The denominator is zero when x = 4 and x = -2/3 so these lines are the vertical asymptotes. Hope this helps. :) Upvote • 0 Downvote Add comment ...
Graph the rational function f(x)=(-6)/(x-6)To graph the function, draw the horizontal and vertical asymptotes (if any) and plot at least two point the graph. 相关知识点: 试题来源: 解析 x-6=0 x=6 vertical asymptote at x=6 horizontal asymptote at y=0 ...
What are the horizontal and vertical asymptotes, if any, of the function? f(x)=1x2−2x−15AsymptotesThe vertical asymptote of a function y=f(x),x∈R∖{a}, is the line x=a, if limx→a−f(x)= finite value or limx→a+f(x)= finite value . The...
The vertical asymptote is the imaginary vertical line that the graph of the function approaches but never meets. On the other hand, the horizontal asymptote is the imaginary horizontal line that the graph also never touches.Answer and Explanation: The given ration...