Section 10-4 Graphing Multivariable functions

1. Plot P(3, 5)

Three Dimensional Cartesian Coordinate System Z Y X

Coordinate Axis The x-axis appears to go from front to back the y-axis from left to right the z-axis from top to bottom The positive x direction is from the origin forward The positive y direction is from the origin right The positive z direction is from the origin up

Octants The three axis divide the space into 8 octants. Four above the xy plane and four below the xy plane

Octants I.(x, y, z) II.(-x, y z) III.(-x, -y, z) IV.(x, -y, z) V.(x, y -z) VI.(-x, y, -z) VII.(-x, -y, -z) VIII.(x, -y, -z)

2.Plot the points A( 2, 3, 5 ) Z Y XB( 0, 5, 2 ) C( 2, -2, -4 )

3. Graph the plane y = 5 y x z

4. y x z

5. y x z

Assignment: Practice 10-4