### Home > APCALC > Chapter 1 > Lesson 1.2.1 > Problem 1-24

Sketch a graph of the piecewise-defined function

State the domain and range of

.Consider the domain and range of each piece separately . Then combine.

Domain: Bothand have a domain of all real numbers.

Range:on has a range ofand on has a range of. Is

*g*continuous at? Explain. Later in this course we will learn a formal definition of continuity. For now, think about what continuous means to you. Now look at the graph at

. Make a conclusion and justify. Is

*g*continuous for all values of?Consider other values of

, other than. Is the function continuous at these point? Is there anywhere where the function will not be continuous?

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