Question

state the domain of the function. identify all intercepts and find vertical and horizontal asymtodes.

f(x)=x-2 over x+1

or x-2
f(x)= ___

x+1

Answer 1

type it this way ...

f(x) = (x-2)/(x+1)

domain: looks like we could use any x , except x=-1

x-intercept, let y = 0
so x=2

y-intercept , let x = 0
so y = -2

clearly vertical asymptote, (note spelling) is x = -1

horizontal, mentally look at what happens to
(x-2)/(x+1)
does it not approach 1 ?

However, are you above or below 1 for large + x's
are you above or below 1 for large - x's ?