Domain and Range

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Transcript Domain and Range

Domain and Range
Domain
• Domain is the set of all numbers that are
included in the input of a function
–
–
–
–
All x values
From left to right on the graph
The left side of the input-output table
Ordered pairs
• First number
{(-3,-19), (-2, -15),
(-1, -11), (0, -7),
(1, -3), (2, 1),
(3, 5)}
Range
• Range is the set of all numbers that are included
in the output of a function
–
–
–
–
All y values
From bottom to top on the graph
The right side of the input-output table
Ordered pairs
• Second number
{(-3,-19), (-2, -15),
(-1, -11), (0, -7),
(1, -3), (2, 1),
(3, 5)}
Writing Domain and Range
• Set Notation
– D={a, b, c, d, e, f}
– R={ R}
• Interval Notation
– R=[a, b]
– D=[a, b] U [c, d]
Practice
• Write the domain and range for the
following functions
 y = 4x + 3
 y = |x|
 y = 1/x