Question

Use the domain and range of each of the following relations to determine which is a function.

Answer 1

a) Function

b) Not a function

c) Function

d) Not a function

Explanation:

a) Domain = { 7,-6,2}

Range = {5,0,3}

It is a function as every value in domain has some and unique value mapped to it in Range

b)

Domain = { 7,-6,2}

Range = {5,0,-2,3}

It is not a function as -6 value in domain has two values mapped to it in Range

c)

Domain = { 7,2}

Range = {-6,-7}

It is a function as every value in domain has some and unique value mapped to it in Range

d)

Domain = { 7,-6}

Range = {5,0,3}

It is not a function as 7 value in domain has two values 3 and 5 mapped to it in Range