2. (10 points) Given the following graph (a) What is the piecewise continuous formula for y(x)? y1(x)= for0

2. (10 points) Given the following graph. 2 _I 6 (a) What is the piecewise continuous formula for y(x)? yl(x) y2(x) for O x 4 for 4 x 6 (b) Let A(x) be the area bounded between the x axis, y(x) (i.e., yl and y2) and the vertical line x = x. What is the piecewise continuous formula for A(x)? A1(x) = area of triangle for O 4 A2(x) = area of triangle + area of trapezoid for 4 x 6 (c) Check your answer in part (b). Does A1 (4) = area of square = 8? (Yes or no) Does A2(6) = area of triangle + area of trapezoid = 8 + 12 = 20? (Yes or no)