Given that f(x) = x^k where k < 0, what is the range of f(x) on the interval [1,infinity)?
Though, oobleck You can't just let the student down. You have to work with them until they understand.
maximum range: 1
minimum range approaches 0
Thus the range is (0,1]
I agree with Charles(fake)
humbug
oobleck is just skill issue
Pick a k, say k = -2
Then f(x) = 1/x^2
what is f(1)?
what is f(2)? f(10)? ...
review your section on exponentials
yes, but I have already studied this stuff - you clearly have not.
Did you at least try to do what I suggested?
As x gets bigger and bigger, 1/x^2 (of x^k for any negative k) gets smaller and smaller. But it always stays positive.
I need the answer fast, can you just show me the answer please?
sorry. If you can't be bothered to perform a couple of simple calculations, nor look at your text, I will not do your work for you.
Math is like any other skill -- it takes time and effort. Think of the things (if any) that you do well. No one else did the practice required. Even if I do this one for you, there will come a time when you have to demonstrate what you have learned. I won't be there for that.
You can do the suggested work in about two minutes. Why are you wasting time sitting on your hands? Just do it.