FUNCTIONS AND THEIR GRAPHS
5.12
5.13
The domain is the set of all real numbers. The graph (Fig. 5-12) consists of two half lines meeting at the point
(1, 2). The range is the set of all real numbers a 2.
Fig. 5-12
Fig. 5-13
The domain is {1, 2, 4}. The range is {-1,3}. The graph (Fig. 5-13) consists of three points.
graph (Fig. 5-14) consists of all points on the line y = x — 2 except the point (—2, -4). The range is the set of
all real numbers except -4.
5.15
Fig. 5-15
The domain is the set of all real numbers. The graph (Fig. 5-15) is made up of the left half of the line y = x
for .vs2 and the right half of the line y = 4 for x>2. The range consists of all real numbers < 2, plus
the number 4.
The domain is the set of all nonzero real numbers. The graph (Fig. 5-16) is the right half of the line y = 1
for x>0, plus the left half of the line y = -\ for x Fig. 5-17
The domain is the set of all real numbers. The graph (Fig. 5-17) is a continuous curve consisting of three
pieces: the half of the line y=\ — x to the left of jt = -l,
the horizontal segment y = 2 between
jt=-l and x = l, and the part of the parabola y — x
2 + 1 to the right of x = l. The range consists of
all real numbers == 2.
Fig. 5-16
/(!)=-!, /(2) = 3, /(4) = -l.
Fig. 5-14
I The domain is the set of all real numbers except —2. Since
for
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5.14
5.16
5.17
25
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