SOLUTION: What is the domain and range of f(x) = x-2/3. I have subbed numbers into x to find y but i don't know the how high the domain and range will go.

Question 978212: What is the domain and range of f(x) = x-2/3.
I have subbed numbers into x to find y but i don't know the how high the domain and range will go.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
If it is (x-2)/3, all x s will work. No x will give an impossible value. The range will be infinite as well, for as x goes to infinity, the 2 becomes unimportant and so does the division by 3.
If it is x^(-2/3), that is 1/x^(2/3)
Here you can take the cube root of any x, so the domain is all reals except 0, since one would be dividing by zero.
The range is all y>0. As x gets larger y gets larger but less quickly. As x approaches 0, y approaches 0 although more slowly.
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