Question

What is the horizontal asymptote of f(x)=-2x/x+1
A.-2
B.-1
C.0
D.1

Answer 1

-2

Explanation:

just took the test

Answer 2

A horizontal asymptote of a function f(x) is given by y = lim f(x) as x --> ∞ and x --> –∞. In this case,

`\lim_(x \to \infty) (-2x)/(x+1) = \lim_(x \to \infty) (-2x)/(x(1+ (1)/(x) ))\\ =\lim_(x \to \infty) (-2)/(1+ (1)/(x) )\\ = -2`

Thus, the horizontal asymptote of f(x) is y = –2.