Question

Give sample equations of monotonic functions

Answer 1

$$x, x^2, e^x,\ln(x),$$

Answer 2

is \[x^{2}\] really monotonic? it's decreasing at x<0. but is increasing at x>0

Answer 3

sqrt(x-c)

Answer 4

ye my bad, cross x^2 out, everything else is good though.

Answer 5

Thanks

Answer 6

for x>0, x^s is montonic for any s

Answer 7

same with x<0 ?

Answer 8

its a different story, how would you define say $$(-1)^{1/5}$$ There are 5 different roots of unit

Answer 9

Yup. I see. Thanks