Domain range and function

Question

asked Feb 1, 2021 124k views

1 Answer

Vincent Claes · Answer 1 · 2021-02-07T21:54:34+0000

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).