Worksheet 4

Worksheet 4 - Name Worksheet 4 Due Wednesday March 2 2011...

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Name: Worksheet 4 Due Wednesday March 2, 2011 Show all computations. Write neatly. Staple your work. 1. Give the definition of a function. Be sure your definition includes the three parts of a function. 2. Consider the relation with input set { 1 , 2 , 3 , 4 } , output set {♣ , , ♥} and rule given by 1 7→ 2 7→ 3 7→ 4 7→ Determine whether the relation defines a function. If the relation does define a function, explain why. If the relation doesn’t define a function, explain which part of the definition of a function is not satisfied.

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2 3. Consider the relation with input set {♣ , , ♥} , output set { 1 , 2 , 3 , 4 } and rule given by 7→ 1 7→ 2 7→ 3 7→ 4 . Determine whether the relation defines a function. If the relation does define a function, explain why. If the relation doesn’t define a function, explain which part of the definition of a function is not satisfied. 4. Write the general equation for a linear function. Be sure to explain the meaning of each symbol in the equation you write.
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