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Unformatted text preview: o determine which x and y values occur as
coordinates of points on the given graph. To ﬁnd the domain, it may be helpful to imagine collapsing
the curve to the x-axis and determining the portion of the x-axis that gets covered. This is called
projecting the curve to the x-axis. Before we start projecting, we need to pay attention to two
subtle notations on the graph: the arrowhead on the lower left corner of the graph indicates that the
graph continues to curve downwards to the left forever more; and the open circle at (1, 3) indicates
that the point (1, 3) isn’t on the graph, but all points on the curve leading up to that point are on
y y 4 4 3 3 2 project down 2 1 −1 1 1
−1 x −1 1
−1 project up
The graph of G
2 The graph of G When listing numbers in a set, we list each number only once, in increasing order. x 38 Relations and Functions We see from the ﬁgure that if we project the graph of G to the x-axis, we get all real numbers less
than 1. Using interval notation, we write the domai...
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