# Find horizontal and vertical asymptotes

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## Horizontal, Vertical Asymptotes and Solved Examples

Example 9: Identifying Horizontal and Vertical Asymptotes Find the horizontal and vertical asymptotes of the function f ( x ) = ( x − 2 ) ( x + 3 ) ( x − 1 ) ( x + 2 ) ( x − 5 )

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## Horizontal and Vertical Asymptotes

Given a rational function, we can identify the vertical asymptotes by following these steps: Step 1: Factor the numerator and denominator. Step 2: Observe any restrictions on the domain of the function. Step 3: Simplify the expression by

## How to Find Vertical & Horizontal Asymptotes

Find the vertical and horizontal asymptotes of the functions given below. Example 1 : f (x) = 4x2/ (x2 + 8) Solution : Vertical Asymptote : x2 + 8 = 0 x2 = -8 x = √-8 Since √-8 is not a real number, the graph will have no vertical

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## 2-07 Asymptotes of Rational Functions

Let us see some examples to find horizontal asymptotes. Asymptote Examples Example 1: Find the horizontal asymptotes for f (x) = x+1/2x Solution: Given, f (x) = (x+1)/2x Since the highest

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## Asymptote Calculator

Find the horizontal and vertical asymptotes of the function: f(x) = x+1/3x-2. Solution: Horizontal Asymptote: Degree of the numerator = 1. Degree of the denominator = 1.

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Mathematics is the study of numbers, shapes, and patterns. It is used to solve problems in a variety of fields, including science, engineering, and finance.

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