SOLUTION: What is the range of y > 2(x-4)^2 - 3

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Question 1122541: What is the range of y > 2(x-4)^2 - 3
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Find the zeros of the related parabola, if any. The inequality will be true, outside of the zeros, exclusive.


0=2(x-4)^2-3
2(x-4)^2=3
(x-4)^2=3/2
x-4=0+-sqrt(3/2)
x=4+- sqrt(3/2)

The inequality given, will be have y greater than 0, and tend toward infinity, for x%3C-sqrt%283%2F2%29, and for x%3Esqrt%283%2F2%29.

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
For your info :

The term "Range" is inapplicable to inequalities.



The term "range" is applicable to functions and expressions ONLY.