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What is the mathematical expression for a function to be strictly increasing on (a,b)?

Posted: Wed Jul 13, 2022 8:07 pm
by answerhappygod
a) x1 < x2 ⇒ f(x1) < f(x2) ∀ x1, x2 ∈ (a,b)
b) x1 < x2 ⇒ f(x1) ≥ f(x2) ∀ x1, x2 ∈ (a,b)
c) x1 = x2 ⇒ f(x1) ≤ f(x2) ∀ x1, x2 ∈ (a,b)
d) x1 = x2 ⇒ f(x1) < f(x2) ∀ x1, x2 ∈ (a,b)