The graph of f(x)= (x^2-2x-8)/(x+6) has which of the following?

a. point discontinuity
b. vertical asymptote
c. both of the above
d. neither of the above

I'm stuck between b and c. I know that the vertical asymptote is x=-6. Help?

2 answers

f(x)= (x^2-2x-8)/(x+6)
to have a point discontinuity, (x+6) should have been a factor of the numerator and cancelled out.
e.g. if g(x) = (x^2 - x - 12)/(x-4)
g(x) = (x-4)(x+3)/(x-4)
= x+3, x ≠ 4

There would have been a discontinuity at the point (4,7)

So in your question , we should just go with b)
Ohhh okay thank you for explaining
Similar Questions
  1. Which of the following must be true for the graph of the functionf(x)= (x^2-25)/5x-25) There is: I. a removable discontinuity at
    1. answers icon 1 answer
  2. The Graph of F(x) = (x^2 -2x -8)/(x+6) has which of the following ?a) point of discontinuity b) vertical asymptote c) both of
    1. answers icon 1 answer
    1. answers icon 2 answers
  3. Create a function which has the following properties:a. It has a horizontal asymptote at y=2 b. It has a discontinuity at x=2
    1. answers icon 2 answers
more similar questions