What is the domain and range of the following function?

f(x)= - sqrt(-lnx+2)

For the domain, I got 0<x<or equal to e^2
Is this right?
And can someone help with range?

4 answers

correct
And what did you get for your range?
I'm not sure what to do for the range?
Can you help please?
is it just YER?
When you take the derivative and set it equal to zero, there is no solution.
So the function has no local max/mins
So consider the endpoints of your domain
let x --- 0 from the right
lnx will be hugely negativae, so -lnx will be hugely positive , adding 2 to it won't matter much.
so √big will be big
and -√big will be -big, so the graph approaches negative infinity along the y-axis.

other endpoint, x = e^2
y = -√(-2+2) = -√0 = 0

range: -negative infinity to 0
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