How do you find the domain and range of $y = x^{2} - 3$ $y = x^2 - 3$ ?

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How do you find the domain and range of $y = x^{2} - 3$ $y = x^2 - 3$ ?

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Answer 1 · 2017-12-24T03:05:27

$x in RR, y>=-3$

Explanation:

The domain is the list of valid $x$ values. Here, there are no values of $x$ that are disallowed (0 is ok, small positive and negative values are ok, big positive and negative values are ok). And so we can say that the domain is:

$x in RR$

The range is the list of resulting values after we plug in $x$ values. See that the smallest value $x^2$ can be is 0 - it can't be negative. And so the smallest value $x^2-3$ can be is $-3$ . This means the range is:

$y>=-3$

Here's the graph that will show this:

graph{x^2-3}

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How do you find the domain and range of $y = x^{2} - 3$ $y = x^2 - 3$ ?

1 Answer

Explanation:

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How do you find the domain and range of $y = x^{2} - 3$ $y = x^2 - 3$ ?