- #1

- 374

- 7

## Homework Statement

For real ##x##, the function ##\dfrac{(x-a)(x-b)}{x-c}## will assume all real values provided

(A) ##a > b > c##

(B) ##a < b < c##

(C) ##a > c > b##

(D) ##a < c < b##

## Homework Equations

## The Attempt at a Solution

I'm really stuck on this. I know that ##x = c## is a vertical asymptote. I also know that I could substitute in values for ##a, b## and ##c## and graph it, but I don't want to do that. Again, I'm really not sure how to go about it. Please help.