Answer:
Interval notation: Range = (1,9)
Words notation: Range is between 1 and 9.
Inequality notation: Range = {f(x)| 1 < f(x) < 9}
Step-by-step explanation:
The given function is
[tex]f(x)=x+3[/tex]
We need to find the range of f(x) for the domain -2 < x < 6 .
At x=-2,
[tex]f(-2)=-2+3=1[/tex]
At x=6,
[tex]f(6)=6+3=9[/tex]
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 = {f(x)| 1 < f(x) < 9}