Posted by Gretchen on .
A rational function f(x) contains quadratic functions in both the numerator and denominator. Also the function f(x) has a vertical asymptote at x=5, a single x intercept of (2,0) and f is removeably discontinuous at x=1 because the lim x-> 1 is -1/9.
Find f(0) and lim x-> infinity of F(x)
Looks like the function has (x-5) in the denominator, but not the numerator.
It has (x-1) both top and bottom, because it's otherwise continuous there.
x=2 when y=0
limit is -1/9 at x=1
f(0) = -8/45
as x gets large, f(x) approaches -4/9