Piecewise Function
Definition of Piecewise Function

• Piecewise Function is a Function f(x) defined piecewise, that is f(x) is given by different expressions on various intervals.

Examples of Piecewise Function

• The Graph below shows the piecewise Function f(x) = |x| if x ≤ 0
                                                           =  sinx  if x > 0

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Solved Example on Piecewise Function

        Choose the Graph of the piecewise Function f(x) = cosx if x < 0
                                                                                    = e^x if x ≥ 0

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Choices:
A. Graph A
B. Graph B
C. Graph C
D. None of these
Correct Answer: B
Solution:
Step 1: The Graph of the piecewise-defined function
 f(x) = cosx if x < 0                                    
       = e^x if x ≥ 0 is as shown below.    [Use a grapher.]

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Related Terms for Piecewise Function

• Function
• Expression

Additional Links for Piecewise Function

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