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24 votes
24 votes
F(x)=2(x+6)^2+5 find domain and range

User Shile
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1 Answer

15 votes
15 votes

The domain is all real numbers. You can use any real number for x and be able to calculate a y-value.

For the range, you have to recognize that this parabola opens up and has a vertex at (-6,5).

Since the parabola opens up from that point, that point will be the lowest point on the graph, making 5 the least y-value used by the graph. All y-values greater than 5 are also used by the graph.

The range is [5, infinity) or y ≥ 5.

User Yueyoum
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