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1. timmyNbryan Says:
   March 12th, 2008 at 7:26 am

   domain: all real numbers
   range: all real numbers

2. i ♥ Phil Hansen Says:
   March 12th, 2008 at 7:26 am

   domain: all real number

3. tkquestion Says:
   March 12th, 2008 at 7:26 am

   Since there is no number that cannot go into as X, the domain is all real numbers.

   Range; however, is not all real numbers!
   Your function is -3x^2 + 22x – 7
   Since the highest degree in the function is 2, the function will shape either U or the upside down U. Since the co-efficient to this portion is negative (-3), it will be the upside down U. That means, you will have a number where the function will go no higher, but you will have infinity on both sides.

   NOW!
   Take a derivative of your function and you get y'=-6x + 22
   The critical number where y' = 0 is when x=11/3 meaning when x=11/3, the y value will be the highest.
   Substituting this X into the original function,
   -3(11/3)^2 + 22(11/3) – 7, we get 33.33333
   SO….
   Your range is negative infinity to 33.33333

   If you have not done calculus, you need to graph this, and you will see exactly how this function will behave.

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