In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located. 4. (a) ( − 1 , 1 ) (b) ( − 2 , − 1 ) (c) ( 2 , 1 ) (d) ( 1 , − 4 ) (e) ( 3 , 7 2 )
In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located. 4. (a) ( − 1 , 1 ) (b) ( − 2 , − 1 ) (c) ( 2 , 1 ) (d) ( 1 , − 4 ) (e) ( 3 , 7 2 )
In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located.
4.
(a)
(
−
1
,
1
)
(b)
(
−
2
,
−
1
)
(c)
(
2
,
1
)
(d)
(
1
,
−
4
)
(e)
(
3
,
7
2
)
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
5) For each function represented by an equation, make a table and plot the corresponding
points to sketch the graph of the function.
(a) y = 75 ()*
220
X
y
200-
-2
180
160
-1
140
0
120
100
1
60
80
2
3
4
x
(b) y = 20 ()*
1
60
40
20
20
0
2
3
65-
-1
X
y
60
-2
55-
50
45
44
40
0
35-
30
1
25
2
20
20
15
3
10
5
LO
4
3-2
T
-1
0
5-
4-
-3-
2-
A system of inequalities is shown.
y
5
3
2
1
X
-5
-4
-3
-2
-1
0
1
2
3
4
5
-1-
Which system is represented in the graph?
Oy>-x²-x+1
y 2x²+3
-2
-3
т
Which set of systems of equations represents the solution to the graph?
-5
-4
-3
-2
Of(x) = x² + 2x + 1
g(x) = x²+1
f(x) = x²+2x+1
g(x) = x²-1
f(x) = −x² + 2x + 1
g(x) = x²+1
f(x) = x² + 2x + 1
g(x) = x²-1
-1
5 y
4
3
2
1
0
-1-
-2
-3-
-4.
-5
1
2
3
4
5
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