Question

If x, y belongs to R, then which of the following rules is not a function

(1) y = 9 –x²
(2) y = 2x²

(3) y = √x –|x|
(4) y = x² + 1


Please answer the above question with
⭐Explaination
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Answer 1

Answer:

(3) y = √x –|x|

Step-by-step explanation:

In function y = √x –|x|,

If we take x = 4 then

y = √4 -|4|

= +2 - 4 or -2 - 4

= -2 or -6

x = 4 is a element of domain & there is more than one image (-2 & -6) of x are present in the codomain

so by the definition of function y = √x –|x| is not a function.