Find the intercept, relative extrema, point of inflection, and asymptotes of the function(if they exist)of:

Question

y = (x^2 + 1)/(x^2 - 9)

Answer 1

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.

Answer 2

y=0^2+1/0^2+9 y = 1/9 y intecept