Misc 1 - Chapter 2 Class 11 Relations and Functions

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Misc 1 The relation f is defined by f (x) = {█("x2 , 0" ≤"x" ≤"3 " @"3x, 3" ≤"x" ≤"10" )┤ The relation g is defined by g (x) = {█("x2 , 0" ≤"x" ≤"2 " @"3x, 2" ≤"x" ≤"10" )┤ Show that f is a function and g is not a function. f (x) g (x) = {█("x2 , 0" ≤"x" ≤"2 " @"3x, 2" ≤"x" ≤"10" )┤ For x = 2 g(x) = 4 & 6 Element 2 of the domain of the relation g(x) corresponds to two different images 4 and 6. Hence, relation g(x) is not a function.