Sketch the following piecewise function and explain whether lim f(x) exists: f(x) = { (8 - x²,-2 < x≤ 2, XER -x+6, x> 2, x ER For the piecewise function f(x) = (4x7,x ≤ 3 (4-x²,x>3 Determine the following limits: lim f(x) X-4 im f(x) lim f(x) X-3+ lim f(x) X-3- lim f(x) X-3