Which of the following is the graph of the rational function y= x^2+5x-6/x^2-16

 The below graph shows the given function.

Step-by-step explanation:

Here the given function,

Which is the rational function.

For vertical asymptote,

Denominator = 0

⇒

⇒  

⇒  

Thus, the vertical asymptotes of the given function are (4, 0) and (-4,0).

Also, x-intercept of the given function are ( 1,0) and  (-6,0)

y-intercept of the given function are (0,0.375)

End behavior :

Since, The function has three intervals,

In interval , as and as

In interval , as and as

And, In interval ,   as and as

more detail

step-by-step explanation: