0

A "decreasing function" is one that gets smaller as its input gets larger. For example, f(x) = -x, f(x) = 1/x {x > 0}.

What can functions like sqrt(x), ln(x) be called? They are always increasing, but the rate at which they are increasing always slows down. Their first-order derivatives are decreasing functions.

ln(x) is a ____ function

1
  • 1
    It might be better to ask this question on a maths stack. Off hand, I don't think that there is a specific term.
    – Mick
    Nov 15, 2022 at 0:47

1 Answer 1

3

Such a function is called a concave function. This is because it is concave downwards (convex side upwards). A concave function may decrease (although your examples do not) if the gradient/derivative decreases past zero.

1
  • 1
    I’ve also heard concave down and concave up.
    – Jim
    Nov 15, 2022 at 2:48

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.