The relation f is defined by f(x)=`{x^2,0<=x<=3 `and` 3x,3<=x<=10`,` `g(x) =`{x^2,0<=x<=2 ` and `3x,2<=x<=10`) show that f is a function and g is not a function

The relation f is defined by f(x)={x^2,""0lt=xlt=3 3x ,""""3lt=xlt=10 The relating g is defined by g(x)={x^2,""0lt=xlt=3 3x ,""""2lt=xlt=10 Show that f is a function and g is not a function.

The relation f is defined by f(x)={x^2,0lt=xlt=3 3x ,3lt=xlt=10 The relation g is defined by g(x)={x^2,0lt=xlt=3 3x ,2lt=xlt=10 Show that f is a function and g is not a function.

The relation f is defined by f(x)={x^2,0lt=xlt=3 3x ,3lt=xlt=10 The relating g is defined by g(x)={x^2,0lt=xlt=3 3x ,2lt=xlt=10 Show that f is a function and g is not a function.

Discuss the continuity of f(x)={x{x}+1,0lt=x<1 and 2-{x},1lt=x<2 where {x} denotes the fractional part function.

Given a function defined by y = f(x) = sqrt(4- x^(2)) 0 lt= x lt= 2 , 0 lt= y lt=2. Show that f is bijective function .

Let the function f, g and h be defined as follows: f(x)={xsin(1/x) for -1<=x<=1 and x != 0 and 0 for x=0 and g(x)={x^2sin(1/x) for -1<=x<=1 and x !=0, 0 for x=0 h(x)=|x|^3 for -1<=x<=1 Which of the following is/are true?

Prove that the greatest integer function defined by f(x) =[x] ,0 lt x lt 2 is not differentiable at x=1

Prove that the greatest integer function defined by f(x)= [x], 0 lt x lt 3 is not differentiable at x=1 and x=2.

Prove theat the greatest interger function defined by f(x)= [x], 0 lt x lt 3 is not differentiable at x=1 and x= 2.