Question

Write the range of f(x) in all three notations if the domain is -2 < x < 6 . f(x)=x+3f(x)=x+3

Answer 1

Interval notation: Range = (1,9)

Words notation: Range is between 1 and 9.

Inequality notation: Range = f(x)

Explanation:

The given function is

`f(x)=x+3`

We need to find the range of f(x) for the domain -2 < x < 6 .

At x=-2,

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

At x=6,

`f(6)=6+3=9`

So, the range of the function is 1 < f(x) < 9. It can be written as

Interval notation: Range = (1,9)

Words notation: Range is between 1 and 9.

Inequality notation: Range = 1 < f(x) < 9