Casio CFX-9850GB: Analyzing Function Graphs for Roots, Maxima, Minima, and Intersections, Assignments of Algebra

This handout by paul vaz guides users through analyzing the graphs of two functions, y1 and y2, using a casio cfx-9850gb calculator. Learn how to determine roots, relative maximums and minimums, and points of intersection.

Typology: Assignments

Pre 2010

Uploaded on 09/02/2009

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Casio CFX – 9850GB
Analyzing a function Graph
Paul Vaz
The graphs of the following two functions are used for all the discussions in this handout
265Y1
23
xxx
and
2Y2 x
(the V-Window used is STD (F3))
1. Determining the roots of Y1. Deselect Y2 by highlighting Y2 and pressing F1.
Then press F6 to graph Y1. To begin finding the roots, press the following keys
SHIFT F5 F1
Roots are found by the calculator starting from the extreme-left. In this example the
extreme- left root is –3.4142 (rounded). To obtain the next root to the right of the
previous root, press the cursor key
. The root is –1. Finally, to obtain the root to
the extreme right, press the cursor key
once again. The root is –0.5858 (rounded).
2. Determining relative maximums and minimums of Y1. Keep Y2 deselected and
graph Y1. To find the relative maximum, press
SHIFT F5 F2
The relative maximum is (-2.5486, 2.6311) (rounded). To find the relative minimum,
press
SHIFT F5 F3
The relative minimum is (-0.7848, -0.1126) (rounded).
3. Determining the points of intersection of Y1 and Y2. Select Y2 by pressing F1.
Then press F6 to graph Y1 and Y2 on the same screen. The screen displays
Press: SHIFT F5 F5
The point of intersection is (-4, -6)
Intersections are found by the calculator starting from the extreme-left. To obtain the
next point of intersection to the right, use the cursor key
. In this example we have
only one point of intersection.

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Casio CFX – 9850GB

Analyzing a function Graph

Paul Vaz The graphs of the following two functions are used for all the discussions in this handout Y1  x^3  5 x^2  6 x  2 and^ Y2^  x ^2 (the V-Window used is STD ( F3 ))

  1. Determining the roots of Y1. Deselect Y2 by highlighting Y2 and pressing F1. Then press F6 to graph Y1. To begin finding the roots, press the following keys SHIFT F5 F Roots are found by the calculator starting from the extreme-left. In this example the extreme- left root is –3.4142 (rounded). To obtain the next root to the right of the

previous root, press the cursor key . The root is –1. Finally, to obtain the root to

the extreme right, press the cursor key  once again. The root is –0.5858 (rounded).

  1. Determining relative maximums and minimums of Y1. Keep Y2 deselected and graph Y1. To find the relative maximum, press SHIFT F5 F The relative maximum is (-2.5486, 2.6311) (rounded). To find the relative minimum, press SHIFT F5 F The relative minimum is (-0.7848, -0.1126) (rounded).
  2. Determining the points of intersection of Y1 and Y2. Select Y2 by pressing F1. Then press F6 to graph Y1 and Y2 on the same screen. The screen displays Press: SHIFT F5 F The point of intersection is (-4, -6) Intersections are found by the calculator starting from the extreme-left. To obtain the

next point of intersection to the right, use the cursor key . In this example we have

only one point of intersection.