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The phrase "an increasing function" is correct and usable in written English.
It is typically used in mathematics to describe a function where the output value increases as the input value increases.
Example: "The graph of the equation clearly shows that it is an increasing function, as the line slopes upward from left to right."
Alternatives: "a monotonically increasing function" or "a function that rises."
Exact(60)
Let be an increasing function.
since is an increasing function.
Then f is an increasing function.
Then (f(x)) is an increasing function.
Therefore, (f(x)) is an increasing function.
Note that φ is an increasing function.
If is an increasing function, then.
where ψ : R → R + is an increasing function on ℝ.
end{aligned} So, (F_{1} v)) is an increasing function.
Example 1 Let f : R → R be an increasing function.
Obviously, the Erlang loss function is an increasing function of.
More suggestions(14)
an increasing job
an increasing relation
an increasing functionality
an increasing responsibility
an increasing position
an increasing performance
an increasing functional
an increasing use
an increasing prevalence
an increasing relevance
an increasing value
an increasing share
an increasing success
an increasing recognition
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com