Question

Describe the piecewise function below by evaluating the function for given values of the domain

Answer 1

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

 For $x \leq -2$:
 The function for this domain is:
 $y = -3$

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

 For $x\ \textgreater \ 2$:
 The function for this domain is:
 $y = 5$