Question

State the Vertical Asymptote, Horizontal Asymptote, domain, range, x intercept and y intercept for the following Function.

y= (5-x)/(x+3)

I already know that the Vertical asymptote is -3, so that means the domain is everything except -3, but how do I find the Horizontal asymptote, the two intercepts and the range. I appreciate the help

Answer 1

The x intercept is any x for which y=0. The y intercept is any y for which x=0.
x intercept= 5
y intercept= 5/3 or 1 2/3 if you prefer.
For the range, is there anything that y cannot be no matter what x is?
Google has some great results on the first page for a search of horizontal asymptote.