Purplemath What is a horizontal asymptote? A horizontal asymptote for a rational function is a horizontal line, derived from the rational function, that shows you where the graph is, or thereabouts, when the graph goes off to the sides. MathHelp.com...
What is a horizontal asymptote example? Certain functions, such as exponential functions, always have a horizontal asymptote. A function of the formf(x) = a (bx) + c alwayshas a horizontal asymptote at y = c. For example, the horizontal asymptote of y = 30e–6x– 4 is: y = -4, ...
百度试题 结果1 题目 What is the horizontal asymptote of the exponential parent function? 相关知识点: 试题来源: 解析 y=0 or x-axis 反馈 收藏
What is the horizontal asymptote of this function? {eq}h(x)=\frac{x^3-5x^2+8x-40}{x^2-7x+10} {/eq} Asymptotes: The asymptotes are the lines that are approached by the curve of a function as it goes to infinity. There are two types of asymptot...
The asymptote of the graph in the example functionC(t) where isthe x-axis. The x-axis which is written as y=0 is considered as the horizontal asymptote since the value of the function tends to zero as t tends to infinity. Thus, an asymptote can be defined as a line that is the ...
VerticalHorizontalSlantExamplesPurplemath What is a vertical asymptote? Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function. The graph of the rational function will never cross or even touch the vertical asymptote(s), since this would cause...
What's the asymptote forr=3(1−2cosθ) Asymptote: An asymptote is a line that a curve approaches but never actually touches or intersects, even as it extends infinitely. There are three types of asymptotes: Horizontal asymptote: Curve approaches a horizontal line as input increases. ...
k is the horizontal asymptote Take a look at the function: {eq}f(x)=x+7 {/eq} The inverse of this function is: {eq}\frac{1}{x+7} {/eq} This is almost in the standard form for reciprocal functions: a = 1 x = x h = -7 k = ? Since there are no other ...
Therefore, the graph has a horizontal asymptote that is equal to y = 0. Intercepts The x-intercept does not exist since the graph never crosses x-axis. The y-intercept is (0,a) since y = ab0 = a(1) = a. For example, if the exponential function is y = 3x, the y-intercept ...
the y-axis coordinate is reduced by one-half as it steadily approaches -- but never reaches -- the horizontal asymptote. If you plot out these points, you'll see that they still form a dramatic arc. Only this time, the direction is opposite what you get with exponential growth, as show...