Uploaded by accessiblecalculus on 01.01.2011

Transcript:

This video demonstrates a graphical approach

to determining the domain of a piecewise function.

As the piecewise function on the left is traced,

the x-coordinates of the points on the graph of the function

are plotted on the graph on the right.

When the piecewise function has been completely traced,

the graph on the right will provide a graphical

representation of the domain of the piecewise function.

In the graph on the left, the tracer point begins

at x = - 3 and moves to the right.

As it moves, each x-value from -3 to 3

corresponds to a point on the graph of the function.

The x-coordinates are plotted on the horizontal axis

of the graph on the right.

Thus, in this example, the domain

is the set of all points from - 3 to 3, inclusive.

Symbolically, we represent the domain

using interval notation, [ -3, 3].

using interval notation, [ -3, 3].