Nayland College, Nelson, co-educational high school ...
. 3D Graphs .
Use graph calc or graphing calculator to graph these planes (x,y,z)
|z = 4 |z= 4 – x |z = x + y |
|z = 2 |z = x + 2 |z = 2x + y |
| | |z = 3x + y |
|y = 4 |z = y – 2 |z = 4 - x - y |
|y = 2 |z = y + 2 |z = 3 - x + 2y |
| | |z = 4 +2x - 4y |
|x = 1 |y = x + 3 |x + 3y – 2z = 6 |
|x = -2 |y = x - 1 |2x - y + 4z = 8 |
z = 2
z = y
z = 4 – x
|z = 2 |z = x |
|[pic] |[pic] |
|z +y = 2 |z + y - x = 8 |
|[pic] |[pic] |
z + 4x + 3y = 12 2z + 4x + 3y = 12 3z + 4x + 3y = 12
[pic] [pic] [pic]
4z + 4x + 3y = 12 5z + 4x + 3y = 12 6z + 4x + 3y = 12
[pic] [pic] [pic]
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What do you notice as the coefficient of z changes?
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