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In the following exercises, use the mapping to (a) determine whether the relation is a function, (b) find the domain of the function, and (c) find the range of the function.

Short Answer

Expert verified

Part (a) This relation is not a function.

Part (b) The domain is {Jenny, Randy, Dennis, Emily, Raul}.

Part (c) The range is {RHeenandez@state.edu, JKim@gmail.com, Raul@gmail.com, ESmith@state.edu, Dbrown@aol.com, jenny@aol.com, Randy@gmailcom} .

Step by step solution

01

Part (a) Step 1.

Both Jenny and Raul have two Emails. So each x-value is not matched with only one y-value. So this relation is not a function.

02

Part (b) Step 1.

The domain is the set of all x-values in the relation. The domain is: {Jenny, Randy, Dennis, Emily, Raul}.

03

Part (c) Step 1.

The range is the set of all y-values in the relation. The range is: {RHeenandez@state.edu, JKim@gmail.com, Raul@gmail.com, ESmith@state.edu, Dbrown@aol.com, jenny@aol.com, Randy@gmailcom}.

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