Question 1
The relation f is defined by 2 0 3( ) = 3 3 10 x , xf x x, x ≤ ≤ ≤ ≤ The relation g is defined by 2 , 0 2( ) 3 , 2 10 x xg x x x ≤ ≤= ≤ ≤ Show that f is a function and g is not a function.
SOLUTION
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The relation f is defined by 2 0 3( ) = 3 3 10 x , xf x x, x ≤ ≤ ≤ ≤ The relation g is defined by 2 , 0 2( ) 3 , 2 10 x xg x x x ≤ ≤= ≤ ≤ Show that f is a function and g is not a function.