Question

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

Answer 1

Answer:

Graph C

Step-by-step explanation:

Assuming you mean $\displaystyle f(x)=\frac{4x-8}{2x+3}$:

• Our vertical asymptote will be the line equal to the solution of $2x+3=0$, which is $x=-\frac{3}{2}$
• 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.