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1-21.

Given the following functions, compute the given values.

Find , , and .

Find , , and .

Find , , and .

  1. Sketch a graph of in part (c) above.

can be called, informally, the Boundary Point of the piecewise function . This is because is the location where the left and the right pieces switch.

and are on the left side of the Boundary Point, is on the right side of the Boundary Point.

LEFT PIECE
LEFT PIECE
RIGHT PIECE

The Boundary Point is . So lies on the left side of the piecewise function while and lie on the right.

This function has two boundary points and three pieces: a left piece, a middle piece and a right piece. On which piece do the points , , and lie?