SE 2.5 In Problems 1, 2, and 3, find the values of a and b (or just a) that make the function f(x) continuous everywhere in its domain. _ __________ __.__ _ . "d ..___ 22:24 if $2 {Vi"5 if m%3,a:>0 o; if x23 "M 'f 1 3M: :f :1 2. Let 2 denote the distance from the origin to the point (x, y) on the line y = 2 2x, 0 s x s 1 (see the picture at right). Plx, Y) 1. Express 2 as a function of x, z(x). 2. Find the absolute maximum and absolute minimum of z(x), 0 g x s 1. 3. Find the coordinates of the point on the segment y = 2 2X, 0 s x s 1, that is closest to the origin