5-11-22

Function Analysis

uTo draw and analyze the asymptotes

[G-SLV]-[ASYM]

Example

To draw the asymptotes for the hyperbola

 

 

(X – 1)2

(Y – 1)2

 

 

–––––––– –

–––––––– = 1

 

 

22

22

 

Use the following V-Window settings.

Xmin = –6.3, Xmax = 6.3, Xscale = 1

Ymin = –5, Ymax = 5, Yscale = 1

mCONICS cccccccw cwcwbwbw6(DRAW)

!5(G-SLV)

5(ASYM)

(Draws the asymptotes.)

uTo calculate eccentricity

[G-SLV]-[e]

Example

To determine the eccentricity of the graph for ellipse

 

 

(X – 2)2

(Y – 2)2

 

 

 

+

 

= 1

 

 

42

22

 

 

 

 

 

Use the following V-Window settings.

Xmin = –3,

Xmax = 7,

Xscale = 1

Ymin = –1,

Ymax = 5,

Yscale = 1

mCONICS ccccccw ewcwcwcw6(DRAW) !5(G-SLV)

6(g)1(e) (Calculates eccentricity.)

#Certain V-Window parameters can produce errors in values produced as graph analysis results.

#The message ”Not Found” appears on the display when graph analysis is unable to produce a result.

#The following can result in inaccurate analysis results or may even make it impossible to obtain a solution at all.

-When the solution is tangent to the x-axis.

-When the solution is a point of tangency between two graphs.

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