SOLUTION: Construct a function (the actual formula for the function, not its graph) whose domain is all real numbers except x=-1 and x=2, and whose range is all negative numbers.

Algebra ->  Rational-functions -> SOLUTION: Construct a function (the actual formula for the function, not its graph) whose domain is all real numbers except x=-1 and x=2, and whose range is all negative numbers.      Log On


   

Question 363100: Construct a function (the actual formula for the function, not its graph) whose domain is all real numbers except x=-1 and x=2, and whose range is all negative numbers.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x=-1 and x=2 are excluded so they must equal zero in a denominator of the function.
x%2B1=0 and x-2=0
If we square both functions, they will always provide a positive result.
Then multiplying their product by (-1) will always provide a negative result.
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highlight%28f%28x%29=%28-1%29%2F%28%28x%2B1%29%28x-2%29%29%5E2%29
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graph%28300%2C300%2C-4%2C4%2C-6%2C2%2C-1%2F%28%28x%2B1%29%28x-2%29%29%5E2%29