wesdg1978
  • wesdg1978
How do you find the domain and range of the function: f(x)=3-x^2
Calculus1
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
domain = -infinity to +infinity range = -infinity to 3
wesdg1978
  • wesdg1978
Thanks, can you tell me why or how you got that answer?
anonymous
  • anonymous
if you plot this function it looks like this

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anonymous
  • anonymous
|dw:1370624221608:dw|
anonymous
  • anonymous
now if you see it closely it says if we vary the value of x from +infinity to +infinity the value of y ranges from -infinity to 3 only
wesdg1978
  • wesdg1978
so y=x^2 but -x^2 so it's flipped and raised +3? Can it be done algebraically?
fozia
  • fozia
function is unbounded means it is not restricted at any point so we can put any number as input from real line so the domain is all real number.
fozia
  • fozia
and th range is -inf to 3
anonymous
  • anonymous
did you got it??? @wesdg1978
wesdg1978
  • wesdg1978
I understand it from the graph you drew, but how do you do it if you don't have a graph?
anonymous
  • anonymous
then you have to consider values of from - infinity to +infinity and you have to see how y is behaving with respect to change in x

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