[" 7.Test whether the function "f(x)=(7)/(x)-3,x in R,x!=0" is increasing or "],[" decreasing "]

Test whether the following function f(x)=2-3x+3x^(2)-x^(3), x in R is increasing or decreasing.

Test whether the function f(x)= x^(3) + 6x^(2) + 12x-5 is increasing or decreasing for all x in R .

Test weather the function f(x)= x^3 + 6 x^2 +12x-5 is increasing or decreasing for all x in R.

Show that the function given by f(x) = 7x-3 , is increasing on R.

Test whether the function f(x)=x^(3)-8 is increasing on [1,2].

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

Test whether the function f(x)=x^3-8 is increasing on [1,\ 2] .

State when a function f(x) is said to be increasing on an interval [a,b]. Test whether the function f(x)=x^(2)-6x+3 is increasing on the interval [4,6]

State when a function f(x) is said to be increasing on an interval [a,b]. Test whether the function f(x)=x^(2)-6x+3 is increasing on the interval [4,6] .