Prove that `f(x) = ax+b` is decreasing function , a,b = constants and a<0

Prove that f(x) = ax + b, where 'a and b' are constants and a> 0 is a strictly increasing function for all real values of x, without using the derivative.

Prove that f(x)=a x+b , where a ,\ b are constants and a<0 is a decreasing function on R .

Prove that f(x)=a x+b , where a , b are constants and a >0 is an increasing function on Rdot

Prove that f(x)=a x+b , where a ,\ b are constants and a >0 is an increasing function on R .

Find the value of 'a' for which f(x) = sinx - ax + b is decreasing function on R.

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

Find the values of 'a' for which f(x)=sinx-ax+b is decreasing function on R.

Prove that f(x)=ax+b, where a,b are constants and a<0 is a decreasing function on R.

Prove that f(x)=ax+b, where a,b are constants and a>0 is an increasing function on R.

Prove that f(x)=ax+b, where a,b are constants and a>0 is an increasing function on R.