Respuesta :

Answer:

  • x+3
  • 5

Step-by-step explanation:

The left piece has a slope of 1 and a y-intercept of 3. Its equation is ...

  f(x) = x +3, if -3 ≤ x < -1

The right piece is a horizontal line at y = 5. Its equation is ...

  f(x) = 5, if -1 ≤ x ≤ 1

Then the piecewise function is ...

  [tex]f(x)=\left\{\begin{array}{ll}\boxed{x+3}&\text{if $-3\le x<1$}\\\\\boxed{5}&\text{if $-1\le x\le 1$}\end{array}\right.[/tex]