1
Question
The graph of y=−x is a
The graph of y=−x is a
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Solution
The correct option is A continuous graph
Continuous graphs are graphs that appear as one smooth curve, with no holes or gaps.
Discrete graph are made with scattered points and these points are not connected.
Take some random values of x as shown in table:
x
y
0
?
1
?
2
?
-1
?
-2
?
Substituting the values of x in y=−x to find y:
∙ For x=0,y=0⇒y=0
∙ For x=1,y=−1×1⇒y=−1
∙ For x=2,y=−2⇒y=−2
∙ For x=−1,y=−1×−1⇒y=1
∙ For x=−2,y=−1×−2⇒y=2
From the above calculations, we get:
Ordered Pair
x
y
(0,0)
0
0
(1,−1)
1
-1
(2,−2)
2
-2
(−1,1)
-1
1
(−2,2)
-2
2
Plot all the ordered pairs on the cartesian plane.
Join all these points.
We can connect all these ordered pairs through a straight line.
Hence, y=−x is a continuous graph.
Option (a) is correct.
Continuous graphs are graphs that appear as one smooth curve, with no holes or gaps.
Discrete graph are made with scattered points and these points are not connected.
Take some random values of x as shown in table:
| x | y |
| 0 | ? |
| 1 | ? |
| 2 | ? |
| -1 | ? |
| -2 | ? |
Substituting the values of x in y=−x to find y:
∙ For x=0,y=0⇒y=0
∙ For x=1,y=−1×1⇒y=−1
∙ For x=2,y=−2⇒y=−2
∙ For x=−1,y=−1×−1⇒y=1
∙ For x=−2,y=−1×−2⇒y=2
From the above calculations, we get:
| Ordered Pair | x | y |
| (0,0) | 0 | 0 |
| (1,−1) | 1 | -1 |
| (2,−2) | 2 | -2 |
| (−1,1) | -1 | 1 |
| (−2,2) | -2 | 2 |
Join all these points.
We can connect all these ordered pairs through a straight line.Hence, y=−x is a continuous graph.
Option (a) is correct.
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