7 Write the equation for a function with a horizontal asympt

7) Write the equation for a function with a horizontal asymptote. Graph this function. Algebraically prove the existence of the asymptote.

Solution

f(x)= (3x+2)/(x+3)

Here the numerator\'s degree and denominator\'s degree are equal. In this case horizontal asymptote is ,

y= numerator\'s leading coefficient/denominator\'s leading coefficient=3/1=3

y=3 in the horizontal asymptote