SOLUTION: What is the range of the function f(x)= 3*pi^(3-x) + logpi 3

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Question 681935: What is the range of the function f(x)= 3*pi^(3-x) + logpi 3
Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)= 3*pi^(3-x) + logpi 3
I can't tell whether that is

%22f%28x%29%22%22%22=%22%223%2Api%5E%283-x%29+%2B+log%28%28pi%5E3%29%29

or

%22f%28x%29%22%22%22=%22%223%2Api%5E%283-x%29+%2B+%28log%28pi%29%29%5E3%29

In either case the first term 3%2Api%5E%283-x%29 approaches 
(gets very close to 0 as x get's very large.  So the
lowest value of f(x) will get closer and closer to the
value of the 2nd term. There is no limit of the highest
value of f(x), so the range in interval notation is: 

%28matrix%281%2C3%2C%0D%0A%0D%0Alog%28%28pi%5E3%29%29%2C+%22%2C%22%2Cinfinity%29%29 if %22f%28x%29%22%22%22=%22%223%2Api%5E%283-x%29+%2B+log%28%28pi%5E3%29%29

or

%28matrix%281%2C3%2C%0D%0A%0D%0A%28log%28pi%29%29%5E3%2C+%22%2C%22%2Cinfinity%29%29 if %22f%28x%29%22%22%22=%22%223%2Api%5E%283-x%29+%2B+%28log%28pi%29%29%5E3%29

Edwin