Posted by Jands on .
Find the intercept, relative extrema, point of inflection, and asymptotes of the function(if they exist)of:
y = (x^2 + 1)/(x^2 - 9)
The intercept is the y value when x = 0. That's pretty easy.
The relative extrema occur where dy/dx = 0
The inflection point is where d^2y/dx^2 = 0
The asymptotes are where the denominator of y(x) is zero: x = 3 and -3.
Now you have some differentiating to do.
y=0^2+1/0^2+9 y = 1/9 y intecept