monotone function <2023-10-17 Tue 20:21:56> mahmood math a function is strictly monotone if its graph always goes up or always goes down. if always implies , the function is monotone increasing; if always implies , the function is monotone decreasing.[cite:@calc_hubbard_2015 definition 2.10.1]
always implies 
, the function is monotone increasing; if 
, the function is monotone decreasing.