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11TH · MATH

Question 3

menu_bookSolutionmenu_bookTheorymenu_book•(i)y=3xy=\sqrt{3x}y=3x​menu_book•(ii)y=x+5y=\sqrt{x}+5y=x​+5menu_book•(iii)y=−12xy=-\dfrac{1}{2}\sqrt{x}y=−21​x​menu_book•(iv)y=−x+1+2y=-\sqrt{x+1}+2y=−x+1​+2menu_book•(v)y=2x+13y=\sqrt[3]{2x+1}y=32x+1​menu_book•(vi)y=2x3−3y=2\sqrt[3]{x}-3y=23x​−3menu_book•(vii)y=x2+x−23y=\sqrt[3]{x^2+x-2}y=3x2+x−2​
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school

11TH · MATH

Question 3

menu_bookSolutionmenu_bookTheorymenu_book•(i)y=3xy=\sqrt{3x}y=3x​menu_book•(ii)y=x+5y=\sqrt{x}+5y=x​+5menu_book•(iii)y=−12xy=-\dfrac{1}{2}\sqrt{x}y=−21​x​menu_book•(iv)y=−x+1+2y=-\sqrt{x+1}+2y=−x+1​+2menu_book•(v)y=2x+13y=\sqrt[3]{2x+1}y=32x+1​menu_book•(vi)y=2x3−3y=2\sqrt[3]{x}-3y=23x​−3menu_book•(vii)y=x2+x−23y=\sqrt[3]{x^2+x-2}y=3x2+x−2​
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Accedmychevron_right11thchevron_rightmathchevron_rightFunctions And Graphschevron_rightExercise 2.2

(iv)

Domain: x≥−1x\ge -1x≥−1

Domain [−1,∞),  Range (−∞,2]\boxed{\text{Domain }[-1,\infty),\;\text{Range }(-\infty,2]}Domain [−1,∞),Range (−∞,2]​
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