With of the following relation is a one-to-one function?a). {(0,0),(1.1),(2,8),(3,27),(4,64)}
b). {(-2,4),(-1,1),(0,0),(1,1),(2,4)}
c). {(0,4),(1,5),(2,6),(4,7),..(n,n+4),.
d). height to student
e). person to telephone number
f). height to age
g). birthday of a family member
Answers
Answer:
a) One to one function.
b) not a one to one function
c) One to one function.
d) not a one to one function
e) one to one function
f) not a one to one function
g) not a one to one function
Step-by-step explanation:
a)(0,0),(1,1),(2,8),(3,27),(4,64)
0--->0
1---->1
2--->8
3--->27
4--->64
One to one function.
b)(-2,4),(-1,1),(0,0),(1,1),(2,4)
-1--->1
1---->1
0--->0
-2--->4
2--->4
It is not a one to one function
c){(0,4),(1,5),(2,6),(4,7)-->(n,n+4)
0--->4
1---->5
2--->6
4--->7
n--->(n+4)
The number should not be same so, It is a one to one function.
d)height to student
Height to the student differs from students
Some students heights are same
It is not a one to one function
e)
The Telephone is different for everyone.
It is one to one function
f)height to age
Height of the person differs and some of the persons height to age
It is not a one to one function
g)birthday of a family member
Birthday of a family member might be same
It is not a one to one function