Question

Find the horizontal and vertical asymptotes of the graph of f. 7x²-1 f(x) = x²-4 (Give your answer as a comma-separated list of equations if needed. Express numbers in exact form. Use symbolic notation

Answer 1

Horizontal : y = 7

Vertical: x = -2 and x = 2.

Explanation:

I am assming this is (7x^2 - 1)/(x^2 - 4)

If we do the division we get 7 + 27/(x^2 - 4)

So the horizontal asymptote is y = 7.

Find the vertical asymptotes:

These occr when the denominator = 0, so:

x^2 - 4 = 0

x^2 = 4

x = 2 or -2.

So they are x = -2 and x = 2.