Respuesta :

Answer:

The answer to your question is: -3

Step-by-step explanation:

I think this is a very simple question, the only thing that you have to do is to look for -2 in the x-axis and after that you go downwards until you find the line or curve.

In the graph we find two values for x equal to -2, these values are -3 and -4.

But for -3 we have a dark blue point this means that this point is part of the function while for -4 we have just the contour of the circle this means that this point is not part of the function.

So, the only possible answer is f(-2) = -3

Looking at the graphic, it is found that [tex]f(-2) = -3[/tex].

------------------------------

  • The problem asks for f(-2), which is the value of y, that is, the vertical axis, when x, that is, the horizontal axis is -2.
  • We can see that at x = -2, the function changes definition, thus it is called a piece-wise function.
  • To find the numeric value at x = -2, we have to look at the definition with the closed circle, which is at y = -3.
  • Thus, [tex]f(-2) = -3[/tex].

A similar problem is given at https://brainly.com/question/21105340