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# domain and range

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Determine the domain and the range of the graph. Express your answer in interval notation​

Feb 27, 2021

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The domain is the interval of the possible values of $x$. As we can see from the graph, the domain is infinity because the parabola extends infinitely.

The range is the interval of the possible values of $y$. In this case, we see that the $y$ values cannot go below $-2,$ but they extend towards positive infinity.

Therefore, the domain is $\boxed{(-\infty, +\infty)},$ and the range is $\boxed{(-2, +\infty)}.$

Feb 27, 2021