The end behavior of the function is the one in option C.
"One end increases and one end decreases"
Here we have the function:
f(x) = -ln(2x) + 4.
Remember that for the natural logarithm, as x tends to zero the function tends to negative infinity.
And as x tends to infinity, the natural logarithm tends to infinity.
So, for our function where we have a negative sign before the logarithm, as x tends to zero the function tends to infinity and as x tends to infinity the function tends to zero.
Then the correct option is C:
"One end increases and one end decreases"
If you want to learn more about end behaviors:
https://brainly.com/question/1365136
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