Relations and Functions

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Presentation transcript:

Relations and Functions

YES! NO!

Is this relation a function?!

Is this relation a function?! YES! Each x-value has a unique y-value.

Input/Output Mapping Domain = {1,2,3,4} Range = {4,8,12,16} 1 4 2 8 3 12 4 16 Domain = {1,2,3,4} Range = {4,8,12,16}

Is this relation a function?!

Is this relation a function?! X Y 1 2 4 3 NO! The same x-value appears more than once!

Input/Output Mapping Domain = {0,2,4} Range = {1,2,3,4} Input Output 0 1 2 2 4 3 4 Domain = {0,2,4} Range = {1,2,3,4} Input 2 is mapped to both 2 and 4.

Are the graphs functions?! Hint: Use the VLT! If a vertical line passes through a graph more than once, the graph is NOT the graph of a function.

(4,4) (-3,3) (1,1) (1,-2)

(-3,3) (1,1) (3,1) (4,-2)