Show that the function `f(x)=3/x+7` is decreasing for `x in R-{0}` .

Show that the function f(x)=1/x is decreasing in (0,oo) .

Show that the function f(x)= x^3 +10x +7 is increasing for all x in R.

Show that the function f(x)=x^(3)+1/(x^(3)) is decreasing function in the interval [-1,1]-{0} .

If a is real number such that 0 lt alt 1 , show that the function f(x) = a^(x) is strictly decreasing on R.

If a is a real number such that 0 lt a lt 1 , show that the function f(x) = a^(x) is strictly decreasing on R.

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

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

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

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

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