Objective – Students will be able to investigate graphs with different viewing windows or viewing screens. Therefore learning how important it is to choose the correct window.

Graphing Calculators A graphing calculator displays a rectangular portion of the graph of a function in a display window or viewing screen, which we refer to as a viewing rectangle. If you choose x-values to range from a minimum Xmin = a to a maximum of Xmax = b, and the y-values to range from a min of Ymin = c to a maximum of Ymax = d, then the visible portion of the graph lies in the rectangle…

Example 1 Draw the graph f(x) = x in each of the following viewing rectangles. a)[-2,2] by [-2,2]b) [-4,4] by [-4,4] c) [-10,10] by [-5,30] d) [-50,50] by [-100,100]

Example 2 Draw the graph f(x) = x 3 – 150x. Which window is has the best display? a)[-5,5] by [-5,5] b) [-20,20] by [-20,20] c) [-20,20] by [-500,500] d) [-20,20] by [-1000,1000]

Example 3 Draw the graph f(x) = With the viewing window of: a) [-9,9] by [-9,9] b) [-4.7,4.7] by [-4.7,4.7] 1 1 – x

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