Math 301                                                                                                                Name:
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. MATHif $x^{2}=y.$



 

 


 

    1. MATHif $xy=x.$



 

 

 

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