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The domain is from negative infinity to positive infinity. The range is from positive 2 to positive infinity.
y=-x^2 +7 The range is the possible values of y for all acceptable values of x. In this case x can be anything, so at its smallest value of 0, y=7, and at its largest value of infinity, y=negative infinity, so the range is negative infinity to 7.
7
The domain and range can be the whole of the real numbers, or some subsets of these sets.
Both extend from negative infinity to positive infinity.