Question 1022211
{({{{5}}},{{{2}}}), ({{{5}}},{{{6}}}), ({{{9}}},{{{2}}}), ({{{9}}},{{{6}}})} 

domain: all values of {{{x}}}
{{{5}}},{{{9}}}

range:all values of {{{y}}}

{{{2}}},{{{6}}}


{({{{-9}}},{{{-3}}}), ({{{3}}},{{{5}}}), ({{{9}}},{{{9}}}), ({{{5}}},{{{5}}})}

domain: all values of {{{x}}}

{{{-9}}},{{{3}}},{{{5}}},{{{9}}}

range:all values of {{{y}}}

{{{-3}}},{{{5}}},{{{9}}}


A {{{function}}} is a set of ordered pairs in which {{{each}}} x-element has only {{{ONE}}} y-element associated with it.

Just remember:
A function may not have two y-values assigned to the same x-value, such as {({{{2}}},{{{4}}}), ({{{2}}},{{{6}}})}.

A function may, however, have two x-values assigned to the same y-value, such as {({{{2}}},{{{4}}}), ({{{3}}},{{{4}}})}.

as you can see here {({{{5}}},{{{2}}}), ({{{5}}},{{{6}}}), ({{{9}}},{{{2}}}), ({{{9}}},{{{6}}})}  element {{{x=5}}} has two y-element associated with it, {{{y=2}}} and {{{y=6}}}

also  element {{{x=9}}} has two y-element associated with it, {{{y=2}}} and {{{y=6}}}; so, the relation is {{{not}}} a function

{({{{-9}}},{{{-3}}}), ({{{3}}},{{{5}}}), ({{{9}}},{{{9}}}), ({{{5}}},{{{5}}})}

each {{{x}}} is associated with one {{{y}}}, even have two x-values assigned to the same y-value;so, the relation  {{{is}}} a function