Graph the equation with the help of graphing calculator
Answer to Problem 74E
Explanation of Solution
Given information:
Write a short essay describing different ways in which a graphing calculator might give a misleading graph of an equation.
Calculation:
A graphing calculator displays a rectangular portion of the graph of an equation in a display window or viewing screen, which we call a viewing rectangle. The default screen often gives an incomplete or misleading picture, so it is important to coose the viewing rectangle with care.
Let us graph the equation
This is because for all
Hence, the graph lies entirely above the viewing rectangle, so this viewing rectangle is not appropriate.
If we enlarge the viewing rectangle to
If we enlarge the viewing rectangle to
Further enlarging the viewing rectangle, the graph do not show the
Hence, the viewing rectangle to
Now graph the equations
One is a parabola, while the other is a line. It seems as if the graphs intersect near the point
Hence, if we zoom in on the area around this point as illustrated below, we see that although the graphs almost touch, but they do not actually intersect.
Chapter 1 Solutions
EBK PRECALCULUS: MATHEMATICS FOR CALCUL
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