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Finding extrema, Finding extrema -38, Pict – HP 49g Graphing Calculator User Manual

Page 106: Functions, Finding roots, Root, Off screen

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The tools discussed below are available from the

functions

sub-menu

(labeled

fcn

on the

PICT

menu).

1. Press

FCN

to display the

FUNCTIONS

menu.

2. Press the function key for the analysis tool you want.

Wlien you choose a fimction analysis tool, the menu is hidden to make
room for the result. You can restore the menu by pressing any one of the
fimction keys;

(FD

to {£6).

Finding roots

A root is a point where a graph meets or crosses the x axis. To find the

root closest to the cursor, press

ROOT

on the

FUNCTIONS

menu.

If the root is within the display area, the cursor moves to the root and the

value of the root is displayed near the bottom left comer of the screen. If

tlie root is not within the display area, the cursor remains where it is, the
message

OFF SCREEN

is briefly displayed, and the value of the root is

displayed near the bottom left comer of the screen.

If you want to find another root, move the cursor so that it is closer to that
root than to any other root before selecting

ROOT.

The message “Constant?” appears on the screen if the same value was

calculated at every sample point.

Function analysis tools list

Finding extrema

An extremum is the maximum or minimum value. To find the extrema

closest to the cursor, press

extr

on the

functions

menu.

If an extremum is within tire display area, the cursor moves to the point

and the x and y coordinates of the extremum are displayed near the

bottom left corner of the screen. If the extremum is not within the display
area, the cursor remains where it is, the message

OFF SCREEN

is briefly

displayed, and the x and y coordinates of the extreimun are displayed

near the bottom left comer of the screen.

If the derivative changes sign at the extremum, the message “Sign
Reversal” briefly appears on the screen before the coordinates are

displayed.

Page 4-38

Plotting graphs