Respuesta :

Given:

The graph is given for the two functions f(x) and g(x).

Required:

To choose the correct option.

Explanation:

The graph of the f(x) is for exponential function because the domain of the function is real from the graph and the range is positive. The graph is increasing. As the values of x increase, the graph approaches positive infinite.

The graph of continuous. The asymptotes of the graph approach to the negative infinite.

The graph of the function g(x) also reaches to the negative infinite so the function g(x) also has asymptotes.

Thus both functions have exactly one asymptote.

Final Answer:

Option (B) is the correct answer.