Decide whether each relation (graph) defines a function, and give the domain and range. 20 2.
Decide whether each relation (graph) defines a function, and give the domain and range. 20 2.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:(c) Decide whether each relation (graph) defines a function, and give the domain and range.
(2)
13
4
12
Expert Solution
Step 1
If the single input value there are multiple outputs then it is not the relation. This is the case with the first and 4th figures.
It can be verified by a vertical line test. if the vertical line touches the curve at two points then it is not a function else it is the function.
So the functions are 2nd and 3rd graph.
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