2) Given that,
Y = X^2 + (2.Z)
A) For Z = 0,
Y = X^2
Table will be as mentioned below-
X | Y |
0 | 0 |
1 | 1 |
2 | 4 |
3 | 9 |
4 | 16 |
5 | 25 |
6 | 36 |
7 | 49 |
Graph will be as mentioned below-
For Z = -1
Y = X^2 - 2
Table will be as mentioned below -
X | Y |
0 | -2 |
1 | -1 |
2 | 2 |
3 | 7 |
4 | 14 |
5 | 23 |
6 | 34 |
7 | 47 |
Graph will be as mentioned below -
B)
For X =0,
Y = 2*Z
Table will be as mentioned below -
Z | Y |
0 | 0 |
1 | 2 |
2 | 4 |
3 | 6 |
4 | 8 |
5 | 10 |
6 | 12 |
7 | 14 |
Graph will be as mentioned below -
For X = -5
Y = 25 + 2*Z
Table will be as mentioned below -
Z | Y |
0 | 25 |
1 | 27 |
2 | 29 |
3 | 31 |
4 | 33 |
5 | 35 |
6 | 37 |
7 | 39 |
Graph will be as mentioned below -
C)
Suppose that Z has value equal to 0. Table will be as mentioned below -
X | Y | Change % |
-5 | 25 | 100% |
-4 | 16 | 64% |
-3 | 9 | 36% |
-2 | 4 | 16% |
-1 | 1 | 4% |
0 | 0 | 0% |
1 | 1 | 4% |
2 | 4 | 16% |
3 | 9 | 36% |
4 | 16 | 64% |
5 | 25 | 100% |
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