Can someone pls me with proving that (f)x^2-2|x| is increasing over [1; infinity] and decreasing over [0; 1] then deduce that (f) admits a minimum to be determined

Over the course of the school year, you keep track of how much snow falls on a given day and whether it was a snow day. your data indicates that of twenty-one days with less than three inches of snow, five were snow days, while of the eight days with more than three inches of snow, six were snow days. if all you know about a day is that it is snowing, what is the probability that it will be a snow day?