Question

How do you determine the domain and range of a function expressed with an equation?
for example: y=2- sqrt X

Answer 1

domain = any value you would put for x
range = the output or the result of what you put for x

Answer 2

how can i solve that equation?

Answer 3

I think that
1) the domain of a function is given by all values of the variable \(x\), such that the equation which expresses the function has a meaning

whereas,
2) the range of a function, is given by the set of all values which gives the corresponding equation, when I replace \(x\) with any value of the range of such function

Answer 4

is your function like this:

\(\Large y=2- \sqrt{x}\)

Answer 5

yes :)

Answer 6

then we can say, that such equation has a meaning, if \(x\) is any non negative number, namely the domain of such function is the subsequent set:
\[domain = \left\{ {x \in \mathbb{R},\quad {\text{such that }}x \geqslant 0} \right\}\]
since there is not the square root of negative numbers

Answer 7

thanks so much !

Answer 8

:)