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Check if the relation given by the equation represents y as function of x: x + y2 = 9 - Mathematics and Statistics

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Question

Check if the relation given by the equation represents y as function of x:

x + y2 = 9

Sum

Solution

x + y2 = 9

∴ y2 = 9 – x

∴ y = `± sqrt(9 - x)`

∴ for every value of x, there are two values of y.

∴ y is not a function of x.

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Chapter 6: Functions - Exercise 6.1 [Page 118]

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