Answer:
a) It is a function as for each [tex]x-[/tex]value there is only one [tex]y-[/tex]value.
b) It is not a function because at certain points for a single [tex]x-[/tex]value there are more than one [tex]y-[/tex]values.
c) It is a function because for each [tex]x-[/tex]value there is only one [tex]y-[/tex]value.
d) It is a function because for each [tex]x-[/tex]value there is only one [tex]y-[/tex]value.
Step-by-step explanation:
For a relationship between two quantities to be a function, each [tex]x-[/tex]value of the function must have only one [tex]y-[/tex]value. If for a particular [tex]x-[/tex]value there are more than one [tex]y-[/tex]values then that is not a function.
Based on the graphs (a),(b),(c) and (d) we can conclude:
a) It is a function as for each [tex]x-[/tex]value there is only one [tex]y-[/tex]value.
b) It is not a function because at certain points for a single [tex]x-[/tex]value there are more than one [tex]y-[/tex]values.
c) It is a function because for each [tex]x-[/tex]value there is only one [tex]y-[/tex]value.
d) It is a function because for each [tex]x-[/tex]value there is only one [tex]y-[/tex]value.
