Find the range of the function , , x is real and x>0
Attempt :
so when x=0 , f(x)=2
and when x approaches infinity , f(x) converges to 1 .
the range would be [1,2)
is this acceptable ?
Hello, thereddevils!
Good job! . . . I'd make one change.
Find the range of the function: .
Attempt :
So when
. . and when converges to 1 .
The range would be [1,2)
I agree with your upper limit, 2.
Since , the function is never quite equal to 2.
. . So, 2 is not included in the range.
As , the function approaches 1,
. . but never equals 1. **
So, 1 is not included in the range.
The range is: .
~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
**
I found that equals when
. . but that is not in the domain.