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\centerline{MATH 243 -- Mathematical Structures}
\centerline{Quiz 4 -- October 6, 2017}
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Your Name: $\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}$
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{\it Directions}
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Do all work and answer all questions on this sheet. (Use the back if you need more space.)  There are 30 possible points, 
distributed as indicated.    
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\item[A)]  (10)  Let $f : A \to B$ be a mapping.  {\bf Define:}  $f$ is injective; $f$ is surjective
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\item[B)]  (10)  Let $f : \mathbb{Z} \to \mathbb{Z}$ be defined by $f(x) = x^2 + 2x + 3$.  Is $f$ injective?
Is $f$ surjective?  Prove your assertions.  
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\item[C)]  (10)  Find the quotient and remainder on division of $N = 346$ by $n = 17$ in $\mathbb{Z}$.   
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