A function f is said to be increasing (abbreviated) on the interval (a,b) if f (x) increases as x increases on the interval (a,b), that is, if the graph of f rises from left to right.

Thus we see that f is increasing on (a,b) if f(x₁) <f (x₂) whenever x₁ < x₂ with x₁ and x₂ in (a,b) .

Note. The term upward sloping is also sometimes used for an increasing function.


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