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ALEKS
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Student Name:
Erik Wolf
Date:
09/03/2019
The numbers that appear as -coordinates of points on the graphmake up the interval . This can be seen by projecting thegraph onto the -axis, as shown in red in Figure 2.y, −3ygy-1-2-3-4-512345
The entire graph of the function is shown in the figure below.Write the domain and range of using interval notation.Sample Questiongg
It is possible to determine the domain and range of a function from its graph.
The
domain
is the set of all the numbers that appear as
-coordinates of points on the graph.
The
range
is the set of all the numbers that appear as
-coordinates of points on the graph.
(a)
Domain of the function
The numbers that appear as
-coordinates of points on the graph
make up the interval
. This can be seen by projecting the
graph onto the
-axis, as shown in red in Figure 1.
Explanation
x
y
x
,
−2
3
x
x
-1
-2
-3
-4
-5
1
2
3
4
5
y
-1
-2
-3
-4
-5
1
2
3
4
5
x
-1
-2
-3
-4
-5
1
2
3
4
5
y
-1
-2
-3
-4
-5
1
2
3
4
5
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ALEKS
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Figure 1.
The domain of
is
.
(b)Range of the function
Figure 2.
The range of
is
.
(a)
domain
(b)
range
g
,
−2
3
5
,
−3
5
Answer
=
,
−2
3
=
,
−3
5
x
-1
-2
-3
-4
-5
1
2
3
4
5