Question

find the domain of the function below if the domain is {-1,0,2} f(x)=x^2 -2x+3

Answer 1

The Range is {3, 6}.

Explanation:

The correct question is

Find the range of the function below if the domain is {-1,0,2} f(x)=x^2 -2x+3

we know that

The domain represents all possible values of x.

The range represents all possible values of f(x)

Substitute all of the possible x-values (domain) into the formula to find all possible f(x) values (the range).

For x=-1

`f(-1)= (-1)^(2) - 2(-1) + 3`

`f(-1)=1+2+ 3`

`f(-1)=6`

For x=0

`f(0)= (0)^(2) - 2(0) + 3`

`f(0)=0-0+ 3`

`f(0)=3`

For x=2

`f(2)= (2)^(2) - 2(2) + 3`

`f(2)=4-4+ 3`

`f(2)=3`

therefore

The Range is {3, 6}.