Given
The attached graph
Part A: Is the graph linear or nonlinear
The attached graph has 3 different straight lines, all of which point to different directions. For a graph to be linear, such graph must have just 1 straight line. This means that the graph is nonlinear.
The attached graph is a nonlinear graph
Part B:
<u>(i) The increasing segment</u>
This is the segment that points in the upward direction.
In the attached graph, line segment A [i.e. from (0,0) to (2,16)] represents an upward movement of the ant.
Line segment A is the increasing segment
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<u>(ii) The decreasing segment</u>
This is the segment that points in the downward direction.
In the attached graph, line segment C [i.e. from (4,16) to (6,0)] represents a downward movement of the ant.
Line segment C is the decreasing segment
<u>(ii) The constant segment</u>
This segment is represented by a vertical or a horizontal line.
In the attached graph, line segment B [i.e from (2,16) to (4,16)] represents a horizontal line.
Line segment B is the constant segment
Part C: The movement of the ant
The ant travels at a constant speed through segment A. It then rests for 2 seconds (i.e. segment B) and finally travels at a constant speed through segment C.
In addition, the 2 seconds it rests at segment B is the difference of the x-coordinates of the end points of line segment B