The domain and range of the graph above

Answers:

Note that there's a square bracket for the '3', but everything else is a curved parenthesis.

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Explanation:

The domain is the set of all allowed x inputs. The arrows tell us that the parabola stretches forever in both left and right directions. We can plug in any x value we want, which means the domain is the set of all real numbers which means the interval notation for that is

This is the same as writing the compound inequality

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The range is the set of all possible y values. The lowest output is y = 3, which is where the vertex is located. We can have this output or anything larger.

So y = 3 or larger, which we can write and that flips to and further expands into

The interval notation for the range is therefore . We use a square bracket to include 3 as part of the range.

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step-by-step explanation:

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: