SOLUTION: I'm not sure how to do this, an explanation would be greatly appreciated! Find the domain of the function using interval notation: f(x) = -2x(x-1)(x-8)

Algebra ->  Functions -> SOLUTION: I'm not sure how to do this, an explanation would be greatly appreciated! Find the domain of the function using interval notation: f(x) = -2x(x-1)(x-8)      Log On


   

Question 1177097: I'm not sure how to do this, an explanation would be greatly appreciated!
Find the domain of the function using interval notation:
f(x) = -2x(x-1)(x-8)
Found 2 solutions by MathLover1, Boreal:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+-2x%28x-1%29%28x-8%29
no matter what is the value of x function is defined
so, the domain of the function is R (all real numbers)
interval notation: (-infinity,infinity)

and the range is same: (-infinity,infinity)

+graph%28+600%2C+600%2C+-20%2C+20%2C+-300%2C+300%2C-2x%5E3%2B18x%5E2-16x+%29+


Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Is there anything that x cannot be?
It can be 0, it can be any negative number, and it can be any positive number.
(-oo, +oo)
Look for domain restriction when there is a square root, which can't be negative or a denominator of a fraction, which can't be 0.
Here is a graph of it
graph%28300%2C300%2C-10%2C10%2C-50%2C150%2C-2x%5E3%2B18x%5E2-16x%29