Show that the function `f(x) = ax +b` is strictly increasing if a > 0

Similar Questions

Explore conceptually related problems

Find the least value of a so that the function f(x) = x^2 + ax + 1 is strictly increasing on (1, 2).

Prove that the function f(X) = ax + b is increasing iff a > 0.

Show that the function f(x)=x^(2) is a strictly increasing function on (0,oo).

Show that the function f(x) = x -(1)/(x) is a strict increasing function fox x > 0

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

Show that the function f(x) = x^3-6x^2 + 15x + 4 is strictly increasing in R.

Show that the function f (x) = (x)/(1+|x|) is a strict increasing function.

Prove that the function f(X) = cosx is strictly decreasing (0,pi) and strictly increasing on (pi,2pi)

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