anonymous
  • anonymous
How do you determine the domain and range of a function expressed with an equation? for example: y=2- sqrt X
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Mehek14
  • Mehek14
domain = any value you would put for x range = the output or the result of what you put for x
anonymous
  • anonymous
how can i solve that equation?
Michele_Laino
  • Michele_Laino
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

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Michele_Laino
  • Michele_Laino
is your function like this: \(\Large y=2- \sqrt{x}\)
anonymous
  • anonymous
yes :)
Michele_Laino
  • Michele_Laino
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
anonymous
  • anonymous
thanks so much !
Michele_Laino
  • Michele_Laino
:)

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