Correct answers only ! which graph represents the function f(x) = x^2 - 16/x - 4?

B

Step-by-step explanation:

Restriction: denominator cannot equal zero so x - 4 ≠ 0 → x ≠ 4

Since the denominator (x - 4) cancelled out, x = 4 is not a vertical asymptote - it is a hole.  

f(x) = x + 4 is the simplified function

f(4) = (4) + 4

     = 8

So, the hole is at (4, 8)

The graph is the line y = x + 4 with a hole at (4, 8).  The only graph that has these attributes is the top right graph, which I call graph B.

step-by-step explanation: