PLS HELP ME!!! Determine the horizontal asymptote for the rational function.

A rational function is graphed in the first quadrant, and in the second and fourth quadrant is another piece of the graph. The graph approaches an imaginary horizontal line at y equals 1 and approaches an imaginary vertical line at x equals 2.

y = −2
y = 2
y = −1
y = 1

Respuesta :

The horizontal asymptote is 1

Using the asymptote concept, it is found that the horizontal asymptote of the function is of y = 1.

The horizontal asymptote of a function f(x) is the value of y that is the limit of the function as x goes to infinity, that is:

[tex]y = \lim_{x \rightarrow \infty} f(x)[/tex]

The graph approaches an imaginary horizontal line at y = 1, thus:

[tex]\lim_{x \rightarrow \infty} f(x) = 1[/tex]

Which means that the horizontal asymptote of the function is of y = 1.

A similar problem involving horizontal asymptotes is given at https://brainly.com/question/23535769

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