Exercise 1 Page 102

A typical graphing calculator has a height to width ratio of 23. Therefore, the graphing calculator will display a square window if the height and width satisfy this ratio. Height/Width=2/3 We are asked to determine if a window with the following parameters is a square. -8 ≤ x ≤ 7 -3 ≤ y ≤ 7 To do that, let's first find the height y and width x of the given viewing window. Width:& 7-( - 8)=15 Height:& 7-( - 3)=10 Now we check if the ratio of height and width is equal to 23.

Height/Width=2/3

SubstituteII

Height= 10, Width= 15

10/15? =2/3

ReduceFrac

a/b=.a /5./.b /5.

2/3= 2/3 ✓

We got a true statement. This means that the viewing window is a square.

Extra

Setting Up the Window in a Graphing Calculator

To set up the window in a graphing calculator, first press WINDOW. To see the screen form the example, set Xmin to - 8, Xmax to 7, Ymin to -3, and Ymax to 7.

Now press GRAPH to see the viewing window.

As we can see, the tick marks are spaced the same on both axes. Therefore, this is a square viewing window.