Question

Which graph represents the rational function f(x)=x^2-16/x^2-2x-8?

Answer 1

Answer:

=8

Step-by-step explanation:

x^2 -16)               ( x - 4) ( x + 4)

_________  =       ____________  =    x +  4

   ( x - 4)                   ( x - 4)

 

 

This is a line with a slope of 1   that   has a y intercept of 4

 

And we have a "hole"   on this line at  at

 

x - 4  = 0

 

x  = 4

 

And when x  =4 , y  =  (4) + 4  = 8

 

So  the graph  three down on the right is the  correct one ....

Answer 2

Answer:

C. The third graph

Step-by-step explanation:

That is the graph that represents a rational function.