Question

Write down a function with the following properties:
a. A horizontal asymptote at y = 0.
b. limx →1− = +∞ and limx→1 + = + ∞
c. f (3) = 0 and f (−5) = 0.

Answer 1

\[f(x)=-\frac{(x-3)(x+5)}{(x-1)^4}\]