In the following questions, we investigate the use of traces to better understand a function through graphs. 2sin(2y) the graph of f(x,y) =- 5 a. Enter pi/3 in the y box and slide x to find a trace for the function f(x,y). Write a sentence to describe the behavior of the function along this trace - the red dots. b. Now what is the value of y such that the trace hit the tallest points on the graph? Check the 3D Graph box to verify your answer. c. Uncheck 3D box. Change the function f to f(x,y) = x + y+1. Slide x for each of y=-1.5, y = -1, y=0, y=1,and y=1.5. Write a sentence to describe the behavior of the function along this trace - the red dots. d. Uncheck Trace x box and Check Trace y box. Slide y for each of x=-1.5, x=-1, x=0, x=1, and x=1.5. e. Spin the graph. Now describe the surface generated by the function f(x,y) = x+ y+1