The piece-wise function is defined by:
[tex]f(x) = 1, -3 \leq x < -1[/tex]
[tex]f(x) = 2, -1 \leq x < 1[/tex]
[tex]f(x) = 3, 1 \leq x < 3[/tex]
A piece-wise function is a function that has different definitions, based on the input.
In this graph:
- When x is between -3(inclusive, closed circle) and -1(exclusive, open circle), the value is 1, thus, the first definition is:
[tex]f(x) = 1, -3 \leq x < -1[/tex]
- When x is between -1(inclusive) and 1(exclusive), the value is 2, thus, the second definition is:
[tex]f(x) = 2, -1 \leq x < 1[/tex]
- When x is between 1(inclusive) and 3(exclusive), the value is 3, thus, the third definition is:
[tex]f(x) = 3, 1 \leq x < 3[/tex]
A similar problem is given at https://brainly.com/question/13205719
