Question

What is the range of the function f(x) = x^2 + 2 when the domain is (-1, 0, 1)?​

Answer 1

The range: {2, 3}

Explanation:

We have the function:

`f(x)=x^2+2`

The domain:

`x\in\{-1,\ 0,\ 1\}`

The range:

put the values of , and calculate the value of f(x):

for x = -1:

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

for x = 0:

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

for x = 1:

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

`y\in\{2,\ 3\}`