as "x" approaches infinity and "y" approaches 0 for the function "y=1/x" — "y=0" is the horizontal asymptote. You can save time in finding horizontal asymptotes by using your TI-83 to create a table of "x" and "y" values of the function, and observing trends in ...
If y=a is a horizontal asymptote of the function y=f(x), then EITHER limlimits _(x→ ∞ )f(x)=a OR limlimits _(x→ -∞ )f(x)=a. Because either of these is sufficient for a horizontal asymptote at y=a, (A) might be true, but does not have to be true. (B) is one ...
百度试题 结果1 题目Write the equation of the horizontal asymptote for function. 相关知识点: 试题来源: 解析反馈 收藏
Learn what a horizontal asymptote is and the rules to find the horizontal asymptote of a rational function. See graphs and examples of how to...
Find a Function's Horizontal AsymptotesWhat is a horizontal asymptote?A horizontal asymptote is a y-value on a graph which a function approaches but does not actually reach. Here is a simple graphical example where the graphed function approaches, but never quite reaches, y=0y=0. In fact, ...
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Remember that 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 ...
There are three possibilities on a rational function that may or may not bring out horizontal asymptotes: If the degree of the top polynomial is higher than the bottom polynomial, there is no horizontal asymptote. If the degree of the top polynomial is lower than the bottom polynomial, the ho...
The horizontal asymptote of a rational function can be determined by looking at the degrees of the numerator and denominator. Degree of numerator is less than
f(x) is a proper rational function, the x-axis (y = 0) will be the horizontal asymptote. How do you tell if there are vertical asymptotes? Vertical asymptotes can be found by solving the equation n(x) = 0 where n(x) is the denominator of the function ( note: this only applies ...