I WILL GIVE BRAINLYEST

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Just make sure you are using your time wisely. Study and do homework for an hour and a half or more daily without an interruptions. That allows you to get something done and then you still have time to do other things that you enjoy doing

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Give an example of a rational function that has a horizontal asymptote of y = 2/9..

Ann [662]

The horizontal asymptote of a rational function tells us the limiting value of that function as it approaches infinity.

For a rational function to have a horizontal asymptote of
$\frac{2}{9}$
then, $the highest degree of x in the numerator must be equal to the highest degree of x in the denominator.$

The second condition is that,
$the coefficient of the highest degree in the numerator and the coefficient of the highest degree in the denominator should be in the ratio 2:9.$

Example are given in the graph above.

Here are some other examples,

$y = \frac{2x - 1}{9x + 2}$

$y = \frac{1 - 6 {x}^{3} }{5x - 27 {x}^{3} }$