Respuesta :

We have a piecewise function.
 Therefore, to find the function, we must evaluate each domain separately.
 We have then:

 For [tex]x \leq -2[/tex]:
 The function for this domain is:
 [tex] y = -3 [/tex]

 
For [tex]-2 \ \textless \ x \leq 2[/tex]:
 
The function for this domain is:
 [tex] y = mx + b [/tex]
 Where,
 [tex] b = -3 m = (y2 - y1) / (x2 - x1) m = (1 - (-7)) / (2 - (-2))[/tex]
 [tex] m = (1 + 7) / (2 + 2) m = 8/4 m = 2[/tex]
 Substituting:
 [tex] y = 2x - 3 [/tex]

 
For [tex]x\ \textgreater \ 2[/tex]:
 
The function for this domain is:
 [tex] y = 5[/tex]

Answer:

1.F(x)=-3

2.F(x)=2x-3

3.f(x)=5

Step-by-step explanation:

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