Question

F(x)=(x^2+x-2)/(x^2-3x-4)I need to know x and y Intercept(s), Horizontal Asymptote(s), and the Vertical Asymptote(s). I also need someone to show me how they get them so I can do the rest of the questions.

Answer 1

well 1st thing to do is factor the numerator and denominator

if there is a common factor then, the value of x that makes the factor equal zero will be a point of discontinuity...(there is one of those in F(x))

The vertical asymptote occurs when the denominator is zero, so after cancelling a common factor find the value that makes the denominator zero.

Horizontal Asymptote

because the degree of the numerator and denominator are equal the quick way to find is to

divide the coefficient of x^2 in the numerator by the coefficient of x^2 in the denominator. the answer is the horizontal asymptote... y =

hope this helps

Answer 2

Why do I need a point of discontinuity? Like is it for the vertical asymptote? Also where do the x and y intercepts come in?

Answer 3

x-intercept : set y=0 and solve for x
y-intercept : set x=0 and solve for y

Answer 4

For the y intercept where is the y I set to 0?

Answer 5

y=F(x)