Question

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

Answer 1

Answer:

The Range is {3, 6}.

Step-by-step 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}.