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Functions and Graphs, SMB-003

State the domain and range of  `y = -sqrt(12-x^2)`.   (2 marks)

--- 5 WORK AREA LINES (style=lined) ---

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`text(Domain:)\ -sqrt12<=x<= sqrt12`

`text(Range:)\ -sqrt12<=y<= 0`

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`y = -sqrt(12-x^2)`

`12-x^2>=0\ \ =>\ \ x^2<=12`

`:.\ text(Domain:)\ -sqrt12<=x<= sqrt12`
 

`y_max =0`

`y_min = -sqrt12\ \ (text{when}\ x=0)`

`:.\ text(Range:)\ -sqrt12<=y<= 0`

Filed Under: Functions and Other Graphs Tagged With: num-title-ct-patha, smc-4244-10-Domain, smc-4244-20-Range, smc-4244-70-Square root

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