The piecewise function is defined by three horizontal linear equations:
- y = - 4 for x ≥ 6 and x ≤ - 2.
- y = 5 for > - 2 and x ≤ 1.
- y = - 3 for x > 1 and x ≤ 5.
How to build a piecewise function according to a graph presented in a picture
A piecewise function is a function formed by two or more expressions constrained by intervals, In this problem we find a piecewise function formed by three horizontal linear equations with three intervals. Horizontal linear equations are zero order polynomials of the form y = a. Therefore, the definition of the piecewise function according to the graph is shown below:
- y = - 4 for x ≥ 6 and x ≤ - 2.
- y = 5 for > - 2 and x ≤ 1.
- y = - 3 for x > 1 and x ≤ 5.
To learn more on piecewise functions: https://brainly.com/question/12700952
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