What Is The Definition Of Horizontal Asymptote

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What Is The Definition Of Horizontal Asymptote. If the denominators degree that is the largest exponent is greater than the numerators degree then the x-axis is the horizontal asymptote y 0. A horizontal asymptote is a horizontal line that tells you how the function will behave at the very edges of a graph.

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The function can touch and even cross over the asymptote. An asymptote is a line that a curve approaches as it heads towards infinity. If the highest power of numerator and denominator are same then the asymptote is coefficient of.

There are three types.

The horizontal line y c is a horizontal asymptote of the function y ƒ x if. That line might be the x -axis. If f x is a rational function the value of a or the asymptote will depend on its degree. Horizontal asymptote is parallel with x- axis.