Answer:
Second option.
Fifth option.
Step-by-step explanation:
By definition, a relation is a function only if each input value (each x-value) has one and only one output value (y-value).
Knowing this, we can check each set of ordered pairs given in the picture:
First option: Notice that the input value [tex]-1[/tex] has two output values ([tex]-1[/tex] and [tex]1[/tex]), and the input value [tex]-2[/tex] has two output values ([tex]-2[/tex] and [tex]2[/tex]); therefore this set of ordered pairs does not represent a function.
Second option: Observe that each input value has one output value; therefore this set of ordered pairs represents a function.
Third option: Notice that the input value [tex]-1[/tex] has two output values ([tex]0[/tex] and [tex]1[/tex]), and the input value [tex]1[/tex] also has two output values ([tex]0[/tex] and [tex]1[/tex]). Therefore this set of ordered pairs does not represent a function.
Fourth option: Since all the ouput values belong to the input value [tex]1[/tex], we can conclude that this set of ordered pairs does not represent a function.
Fifth option: Observe that each input value has one output value; therefore this set of ordered pairs represents a function.
