Let R be the set of real numbers. Define the real function `f: R to R by f(x)=x+10` and sketch the graph of this function.

If R denotes the set of all real numbers then the function f: RtoR defined f(x) = |x|

If R denotes the set of all real numbers than the function f : R rarr R defined by f(x) = |\x |

Draw the graph of the function f: R to R defined by f(x)=x^(3), x in R .

Find the domain and the range of the real function f defined by f(x)=|x-1|

Let R be the set of all real numbers. A relation R has been defined on R by aRb hArr |a-b| le 1 , then R is

Draw the graph of the function: f: R to R defined by f(x) = x^(3), x in R .

Let X and Y be subsets of R, the set of all real numbers. The function f: X rarr Y , defined by f(x)=x^(2) for x in X , is one-one but not onto if (Here R^(+) is the set of all +ve real numbers)

Let R+ be the set of all non negative real numbers. Show that the function f: R_(+) to [4, infty] given by f(x) = x^2 + 4 is invertible and write inverse of 'f'.

Let R+ be the set of all non-negative real number. Show that the faction f : R, to [4, oo) defined f(x) = x^(2) + 4 is invertible. Also write the inverse of f.