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**Unformatted text preview: **aph at most once, so we have that the
graph of S2 passes the Vertical Line Test. Thus it describes y as a function of x.
y
4
3
2
1 x −1
−1 S1 and the line x = 1 Suppose a relation F describes y as a function of x. The sets of x- and y -coordinates are given
special names.
Definition 1.5. Suppose F is a relation which describes y as a function of x.
• The set of the x-coordinates of the points in F is called the domain of F .
• The set of the y -coordinates of the points in F is called the range of F .
We demonstrate ﬁnding the domain and range of functions given to us either graphically or via the
roster method in the following example.
Example 1.4.4. Find the domain and range of the following functions
1. F = {(−3, 2), (0, 1), (4, 2), (5, 2)}
2. G is the function graphed below: 1.4 Introduction to Functions 37
y
4
3
2
1 −1 1 x −1 The graph of G Solution. The domain of F is the set of the x-coordinates of the points in F : {−3, 0, 4, 5} and
the range of F is the set of the y -coordinates: {1, 2}.2
To determine the domain and range of G, we need t...

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