Show that the function `f(x)=x^2+3x+5`,is continuos at x=1.

Show that the function f(x)={|2x-3|[x]x 0 is continuous but not differentiable at x=1

Show that the function f(x)=3x+ 2 is one-one and onto

Show that the function f(x)=3x+2 is one-one and onto.

Show that the function f(x)=x^3/2 is not differentiable at x=0.

Show that the function f(x)=3x+2 is one one and onto

Show that (a) the function f(x)=x^(3)+3x+5 increase in the entire domain of the definition, (b) the function g(x)=(x)/((1+x)^(2)) decrease in the interval (1,oo)

Show that the function f(x) = {{:(x^2 + 3 , "if" x != 0),(1,"if" x = 0):} is not continous at x = 0 .

Show that the function f(x)=x^(3/2) is not differentiable at x=0.

Show that the function f(x)= x^(3) - 3x^(2)+3x - 1 is an increasing function on R.

Show that the function f(x)= x^(3) - 3x^(2)+3x - 1 is an increasing function on R.