Question

A={1,-1} write all the functions from A to A which has range ={ -1,1}.​

Answer 1

Given:A={−2,−1,1,2} and f={(x,

x

1

):x∈A}

f={(−2,

2

−1

),(−1,−1),(1,1),(2,

2

1

)}

We know that function is a relation in which each element of the domain is paired with exactly one element of the range.

⇒f(−2)=

2

−1

,f(−1)=−1,f(1)=1,f(2)=

2

1

∴ it is a function according to the above definition

Range={

2

−1

,−1,1,

2

1

}

Answer 2

Answer:

i Answer

Given:A={−2,−1,1,2} and f={(x,

x

1

):x∈A}

f={(−2,

2

−1

),(−1,−1),(1,1),(2,

2

1

)}

We know that function is a relation in which each element of the domain is paired with exactly one element of the range.

⇒f(−2)=

2

−1

,f(−1)=−1,f(1)=1,f(2)=

2

1

∴ it is a function according to the above definition

Range={

2

−1

,−1,1,

2

1

}