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14. Introduction to graphs
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Q9 of 39 Page 157

Sketch the region {(x, y): x ≥ 0, y ≥ 0, x + 2y ≤ 4} in a coordinate system set up by you.


In the graph the black- lined shaded region is the desired region. (whose left side is covered by the y-axis, downside by the x-axis and remaining by line x+2y=4).


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7

Determine the equation of the line in each of the following graphs:

8

A point P has coordinates (7,10) in a coordinate system X′OX ↔ Y′OY. Suppose it has coordinates (10,7) in another coordinate system X′1O1X1↔ Y′1O1Y1 with X′OX || X′1O1X1. Find the coordinates of O1 in the system X′OX ↔ Y′OY.

10

Draw the graphs of lines 3y =4x − 4 and 2x = 3y+4 and determine the point at which these lines meet.

11

If a ⋆ b = ab + a + b, draw the graph of y =3 ⋆ x +1 ⋆ 2.


Questions · 39
14. Introduction to graphs
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