The function f(x)=`x^2+2x+5` is strictly increasing in the interval

Prove that the function f(x)=x^(2)+2 is strictly increasing in the interval (2,7) and strictly decreasing in the interval (-2, 0).

The function f(x) = x^(2) - 2 x is strictly decreasing in the interval

The function f(x) = 7 + x - e^(x) is strictly increasing in the interval

Show that the function f(x)= x^(2) is strictly increasing function in the interval ]0,infty[ .

Show that the function f(x)= x^(2) is strictly increasing function in the interval ]0,infty[ .

The interval in which the function f(x) = 2x^2 + 4x -5 is strictly increasing is

If the function f(x)=2x^(2)-kx+5 is strictly increasing in [1,2] ,then k' lies in the interval