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Complete the description of the piecewise function graphed below. Enter answers using interval notation.

Complete the description of the piecewise function graphed below. Enter answers using-example-1
User John De Largentaye
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Piecewise Functions

A piecewise function is usually defined by parts or pieces, where each piece is defined in a specific interval of x.

The figure provided has a graph where three pieces of a function are clearly visible.

The first piece is a flat horizontal line that runs from x = -6 and x = -2, both included. The filled circle indicates the endpoint is included, thus the interval for this first piece is: [-6, -2], or equivalently:

-6 ≤ x ≤ -2

The second piece is another flat horizontal line that runs from x = -2 (not included) and x = 1 (included). The interval for this part is (-2, 1] or equivalently:

-2 < x ≤ 1

The final part is a horizontal line that runs from x = 1 (not included) to x = 5 (included). The interval for this piece is (1, 5], or equivalently:

1 < x ≤ 5

User Leander Moesinger
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