Warm Up Solutions
Name the domain and range. Then determine if a function exists.
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x y –3 5 0 5 0.5 5 8 5
domain: { –3, 0, 0.5, 8}
range: {5}
This is a function because the domain contains unique values (does not repeat).
Note
A function has exactly one output for every input, meaning the domain values cannot repeat.
Q: What will the graph of the table look like?
A: A horizontal line.
domain: all real numbers
range: –2 ≤ y ≤ 2
This is a function because it passes the vertical line test (VLT).
Note
Q: What test can be used to determine if the given graph is a function?
A: The vertical line test.
Q: How many times can a graphed function cross a vertical line at any fixed location on the coordinate plane and remain a function?
A: At most one.