Question

Which graph shows the asymptotes of the function f(x)=4x-8/2x+3

Answer 1

Graph C

Explanation:

Assuming you mean
`\displaystyle f(x)=(4x-8)/(2x+3)`:

• Our vertical asymptote will be the line equal to the solution of
  `2x+3=0`, which is
  `x=-(3)/(2)`
• Our horizontal asymptote will be equal to the ratio of the leading coefficients since they have the same degree, so
  `y=2`

Thus, the correct graph is C.