Examples: root-finding with plots, Examples: root-finding with plots -21, Vi 1 – HP 38g Graphing Calculator User Manual

Page 85

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Examples: Root-Finding with Plots

These examples of the interactive root-finding operations use

the expression

f(x)

= jc

^-1

in the Function aplet with default

plot settings.

Select the Function aplet.

SYMB

{{X}} ■ [^] □ 1 [¡EUR]

IFUNCTIDN fVHBDLIC VIEH

^ F K X > = X a - l

F2t;x> =

F3 =

F5 =

ROOT

[SETUP-PLOT]

[CLEAR]

PLOT

{{MENU}] {{FCN}}

Select

Root {{OK}}

■ VI 1/

ftDDT: -1

I8IJ!III

The crosshairs started at (0, - 1 ) . The root nearest the

crosshairs is x = -1. The crosshairs have moved to ( -1,0).

EXTREMUM

5efeci

Extremum

, , , , v

L / , ,

EHTftM: <0,-D

isuim

SLOPE

Sefeci

Slope

,, ,v

iaB;iii

The slope at the extremum (where the crosshairs are) is zero.

Plotting and Exploring Functions 3-21