SOLUTION: analyze and graph of the function f(x)= x^2-2x-3/x+17 a) what is the domain of f(x) b)What is the equation of the vertical asymptotes of f(x) c)what is the equation of the hori

Algebra ->  Rational-functions -> SOLUTION: analyze and graph of the function f(x)= x^2-2x-3/x+17 a) what is the domain of f(x) b)What is the equation of the vertical asymptotes of f(x) c)what is the equation of the hori      Log On


   

Question 927566: analyze and graph of the function
f(x)= x^2-2x-3/x+17
a) what is the domain of f(x)
b)What is the equation of the vertical asymptotes of f(x)
c)what is the equation of the horizontal or oblique asymptote of f(x)
d)graph it
Answer by brysca(112) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E2-2x-3%29%2F%28x%2B17%29
x cannot equal -17 since you cannot divide by zero. In graphical terms, this means a vertical asymptote of x=-17
a) Domain ( -infinity, -17) U (-17, infinity)
b) x= -17
c) y= x-19
.
d)Although this graph shows a good example, it does not show the second part of the graph starting from -17 to -infinity. So, keep in mind that you need to draw the second graph as well using the asymptote equations given.
graph%28400%2C400%2C-25%2C25%2C-25%2C25%2C%28x%5E2-2x-3%29%2F%28x%2B17%29%29
hope this helps!