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Section 1.7
Piecewise Functions
Vocabulary
• Absolute Value Function – a piecewise function, written as f(x)= ,
where f(x) 0 for all values of x.
• Greatest Integer Function – a step function, written as f(x) = [x], where f(x) is the greatest integer not greater than x.
• Piecewise Function – a function in which different equations are used for different intervals of the domain.
• Step Function – a function whose graph is a series of disjoint lines or steps.
3 if -1
( ) = 4 - if - 1 4
3 -10 if 4
x
f x x x
x x
Graph
Graph
Graph f(x) = |x| + 1.
• Graphing Calculator Activity