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A linear function is a function, or equation, that when graphed, will form a straight line.
Perpendicular lines are straight lines that intersect each other at right angles which is 90 degrees
Skew lines can simply be described as two lines that are not coplanar (they are not in the same plane). This means that they do not intersect and are not parallel.
Range.
It means that there is a function - which is here named with the generic name "g"; it might be any function - and that this function depends on variable "y".