What is the range of the function y = -2x^2 + 3?

1 Answer
Douglas K.
Mar 28, 2017

The range is -oo < y <= 3

Explanation:

Please observe that the coefficient of the x^2 term is negative; this means that the parabola opens downward, which makes the minimum of the range approach -oo.

The maximum of the range will be the y coordinate of the vertex. Because the coefficient of the x term is 0, the y coordinate of vertex is the function evaluated at 0:

y = -2(0)^2+3

y = 3

The range is -oo < y <= 3

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