The function `f:NtoN` given by `f(x)=2x`

Consider the function f:NtoN , given by f(x)=x^3 . Show that the function ' f ' is injective but not surjective.

Let N be the set of Natural numbers. Consider the function f:NtoN defined by f(x)=x+1, x in N Prove that f is not onto.

Let N be the set of Natural numbers. Consider the function f:NtoN defined by f(x)=x+1, x in N Check whether f is an onto function.

Let N be the set of Natural numbers. Consider the function f:NtoN defined by f(x)=x+1, x in N If g(x)={(x-1,,,,x>1),(1,,,,x=1):} then find gof

Check the injectivity and surjectivity of the following functions f:RtoR given by f(x)=[x]

Find the intervals in which the function f given by f(x)=2x^2-3x is strictly increasing

Find the least value of a such that the function f given by f(x)=x^2+a x+1 is strictly increasing on (1,2)

The local minimum value of the function f given by f(x)=x^(2)-x,x inR , is

Show that the function f:RrarrR given by f(x)=x+x^3 is a bijective function.

Find the intervals in which the function f given by f(x)=x^2-6x+5 is Strictly increasing.