Math 301                                                                                                                Name: KEY
Quiz 8
  1. For each of the relations $f$ and sets $A$ and $B$ below determine if $f$ is a function from $A$ to $B.$ If it is a function then also determine if $f$ is $\left( i\right) $ one-to-one and $\left( ii\right) $ onto $B.$ You do not need to prove your assertions.
    1. MATH if $x^{2}=y.$

      2. MATH
       
    2. MATH if $xy=x.$

      3. MATH

  2. Let MATH be given by $f(x)=-x.$$\ $Prove that $f$ is a bijection.

    3. MATH
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