b) Now find the horizontal asymptotes by finding the limits on infinity for the function.
and Remember to find the limit divide by the highest power in the denominator!
d) Find the y-intercept (if any), by replacing x with zero. You get 2/4 = 1/2
e) Do a sign
analysis for the areas seperated by any vertical asymptotes and zeros.
The graph now looks like:
2) Graph the following function:
b) Find the limits on infinity of the function after you simplify.
d) Find the y-intercept by replacing the x value with 0. y-int is 0.
b) Find the horizontal asymptote by finding the limits on infinity of the function.
c) Find the x-intercept by finding the zeros of the numerator. x = 5 is the x-intercept.
d) Find the
y-intercept by replacing x with 0. (0 - 5)/(0 - 4) = 5/4
The graph looks like this: