(x^(2)−x−2)/(x^(3)−2x^(2)−5x+6)
(a) State the domain of the function.
(b) Identify all intercepts.
(c) Find any vertical and horizontal asymptotes.
(d) Plot additional solution points as needed to sketch the graph of the rational function.

Question

(x^(2)−x−2)/(x^(3)−2x^(2)−5x+6)
(a) State the domain of the function.
(b) Identify all intercepts. 
(c) Find any vertical and horizontal asymptotes.
(d) Plot additional solution points as needed to sketch the graph of the rational function.

kainui · Answer

The domain includes all values of numbers except when your denominator is =0 or you have the even root of a negative number, since you can't divide by 0 or have the square root of a negative number. To find the intercepts for a point, just imagine what it's asking. When something intercepts the y-axis x must be =0, so plug in 0 and solve for y. Similarly do the same for x, the only problem is you might have to do a little more algebra and factor out numbers or use the quadratic formula.

anonymous · Answer

How should I factor the denominator?

anonymous · Answer

Is the domain all real except  −2, 1, and 3?