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Domain range and function

Domain range and function-example-1

1 Answer

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Explanation:

Look at the picture.


\bold{DOMAIN:}\ 3\leq x<6\Rightarrow x\in[3;\ 6)\\\\\bold{RANGE:}\ 1<y<5\Rightarrow y\in(1;\ 5)

Function? NOT, because for x∈(3, 5) the relation has two values of y.

The vertical line test.

If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function (picture 2).

Domain range and function-example-1
Domain range and function-example-2
User Vincent Claes
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