### Home > CALC > Chapter 1 > Lesson 1.2.1 > Problem 1-21

1-21.

Given the following functions, compute the given values.

Find ,

*, and*

*.*

Find ,

*, and*

*.*

Find ,

*,*

*and*

*.*

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?*