Finding Horizontal and Vertical Asymptotes of Rational Functions

Horizontal and vertical asymptotes in rational functions are critical concepts in calculus and graphing. Vertical asymptotes occur where the denominator equals zero, representing points where the function approaches infinity or negative infinity. Horizontal asymptotes, on the other hand, emerge as the function approaches a constant value for increasingly large or small input values. Analyzing rational functions for these asymptotes helps understand their behavior, aiding in graphing and identifying key features. This knowledge is pivotal for solving problems in calculus, engineering, and physics, where rational functions model diverse phenomena, making it an essential component of mathematical comprehension and application.
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[@jqhnnn3056]

an easier way of solving for the HA is recognizing the degrees are balanced and just dividing the leading coefficients 1/1=1

[@joaogasparfarias2871]

(fx)=the whole equation or just = the numerator?

[@duccline]

the whole expression