Question

Which statement describes why x=-2 is an asymptote for the graphed function?

a. f(x)→ -2 as x→ ∞
b. f(x)→ ∞ as x→ -2
c. f(x)→ -∞ as x→ -2
d. f(x)→ -2 as x→ -∞

I know it's either b or c but which would it be?

Answer 1

The answer is b because as y gets close to infinity x gets closer to -2

Answer 2

option B

Explanation:

x=-2 is an asymptote for the graphed function

At x=-2 we look at the behaviour of the given graph

at x=-2 the graph goes to the top it means the graph of y is positive.

The graph does not cross x=-2 , it goes close to -2

at x=-2, the value of y is positive . the graph goes to infinity

f(x) - > ∞ as x -> -2

option B is correct