SOLUTION: What is the domain and range in set notationa and interval notation of {{{y=-2x^(2)+3}}}

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Question 645084: What is the domain and range in set notationa and interval notation of y=-2x%5E%282%29%2B3
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
What is the domain and range in set notationa and interval notation of y=-2x%5E%282%29%2B3
.
The "domain" defines the possible values for x.
(-oo, +oo)
where oo stands for infinity
.
The "range" defines the possible values for y.
Since this is a "vertical" parabola that opens downward, the y-value of the vertex defines the max value:
x=-b/(2a)
x=-0/(2(-2))
x=0
.
y-value:
y=-2%280%29%5E%282%29%2B3
y=3
.
so, the range is:
[3, -oo)