The relation f is defined by f(x) = {x2,0≤x≤33x,3≤x≤10 and
The relation g is defined by g(x) = {x2,0≤x≤23x,2≤x≤10 Then,
'f' is a function and 'g' is not a function
Both f and g have multiple definitions at x=3 and x=2 respectively.
f(3)=32=9 (∵ f(x)=x2)
Also, f(3)=3×3=9 (∵ f(x)=3x)
f(3) is unique.
g(2)=22=4 (∵ g(x)=x2)
Also, g(2)=3×2=6 (∵ g(x)=3x)
g(2) is not unique
Hence 'f' is a function but 'g' is not