Answer:

 

1.

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 2.

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3.  y = -2x

 

Teacher Notes: Students should begin the study of transformations with linear functions. All linear functions are a transformation of the parent function y = x. The concepts that are developed with linear functions should be continued with all functions.

 

Definition:

Function--mathematical rule between two sets which assigns to each number of the first, exactly one member of the second.1

 

1McGraw-Hill Dictionary of Mathematics (1997), Parker, S., editor. (p.94). New York, NY: McGraw –Hill.