Respuesta :

Given:

The graph of a function.

As [tex]x\to -5^-, f(x)\to \_\_\_[/tex].

As [tex]x\to -5^+, f(x)\to \_\_\_[/tex]

To find:

The correct values for the given blanks.

Solution:

From the given graph it is clear that the function approaches to infinity as x approaches to -5 from the left side. So,

As [tex]x\to -5^-, f(x)\to \infty[/tex].

From the given graph it is clear that the function approaches to negative infinity as x approaches to -5 from the right side. So,

As [tex]x\to -5^+, f(x)\to -\infty[/tex].

Therefore, the correct option (d).