SOLUTION: What is the appropriate domain and range of this cubic function in interval notation: {{{y=x^3+2x^2-3x}}}

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Question 172199: What is the appropriate domain and range of this cubic function in interval notation: y=x%5E3%2B2x%5E2-3x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The domain and range of ANY cubic is all real numbers since any "x" value can be plugged into the cubic (there is no division by zero or square roots to worry about).


Also, it turns out that cubic functions are onto functions. In other words, the range of cubic functions is all real numbers.


So we have:


Domain: all real numbers which in interval notation is


Range: all real numbers which in interval notation is