o Function f₁: R → R is defined by f₁ (x) = (x + 1)². • Function f2: R → R is defined by f2(x) = |x|- 2. o Function f3: R → R is defined by f3 (x) = o Function f4: R → R is defined by f4(x) = -x, 1, when x < 1; when x ≥ 1. x, when x < 1; (x - 2)², when x > 1. A. Sketch a graph of functions f₁, f2, f3, and f4. B. When sketching graphs of the functions above, exactly three were such their graph could be drawn in one connected left-to-right movement of a writing utensil across the page, and the other was such that it could not be drawn in one connected left-to-right movement of a writing utensil. Whic graph was the exception? Why? C. When sketching graphs of the three functions able to be drawn in one connected left-to-right movement, exactly two were such that at some point there was an abrupt jump in the value of their slope, and exactly one was such that for no points was there an abrupt jump in the value of its slope. Which graph contained no abrupt jump in slope value? Which two graphs contained an abrupt jump in slope value? What were the Cartesian Coordinates of the points where those abrupt changes in slope value occurred?