Give an example of a rational function that has no horizontal asymptote and a vertical asymptote at
x = 1.

For this case, the first thing we are going to do is define variables.

We have then:

x: independent variable

y: dependent variable

We write the rational function with vertical asintotal.

We have then:

Since the denominator must be nonzero, then we have:

Therefore, we have a vertical asymptote at x = 1

an example of a rational function that has no horizontal asymptote and a vertical asymptote at x = 1 is:

10.416 meters per second

step-by-step explanation:

distance=1 00 meters

time= 9.6 seconds in decimal form or 9 3/5 as a mixed number

average speed= 100/9.6

=10.416 meters per second or 10 52/125 as a mixed number.

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )