1
$\begingroup$

What do you call a function that changes in predictable direction when its argument changes? For example:

$$ f(x_1) \ge f(x_2) \text{ if } x_1 \ge x_2 \\ g(x_1) \le g(x_2) \text{ if } x_1 \ge x_2 $$

I'm working on a class of problem that requires some functions to have these properties.

$\endgroup$

2 Answers 2

1
$\begingroup$

These functions are called monotonically increasing or decreasing.

If the property is $f(x)>f(y)$ for $x>y$ that function is called strictly increasing.


edit: Read more about this on wikipedia.

$\endgroup$
1
$\begingroup$

The example looks like increasing and decreasing function to me.

$\endgroup$

You must log in to answer this question.

Not the answer you're looking for? Browse other questions tagged .