Using math tools to analyze functions, Overview of the math menu – Texas Instruments PLUS TI-89 User Manual

Page 139

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122 Chapter 6: Basic Function Graphing

06BASFUN.DOC TI-89/TI-92 Plus: Basic Function Graphing (English) Susan Gullord Revised: 02/23/01 4:09 PM Printed: 02/23/01 4:18 PM Page 122 of 22

Press ‡ from the Graph screen.

Math Tool

Description

Value

Evaluates a selected

y(x)

function at a specified

x

value.

Zero,
Minimum,
Maximum

Finds a zero (x-intercept), minimum, or maximum
point within an interval.

Intersection

Finds the intersection of two functions.

Derivatives

Finds the derivative (slope) at a point.

‰

f(x)dx

Finds the approximate numerical integral over an
interval.

Inflection

Finds the inflection point of a curve, where its
second derivative changes sign (where the curve
changes concavity).

Distance

Draws and measures a line between two points on
the same function or on two different functions.

Tangent

Draws a tangent line at a point and displays its
equation.

Arc

Finds the arc length between two points along a
curve.

Shade

Depends on the number of functions graphed.

¦

If only one function is graphed, this shades the
function’s area above or below the x axis.

¦

If two or more functions are graphed, this shades
the area between any two functions within an
interval.

Using Math Tools to Analyze Functions

On the Graph screen, the

‡

Math toolbar menu has several

tools that help you analyze graphed functions.

Overview of the
Math Menu

Note: For Math results,
cursor coordinates are
stored in system variables
xc and yc (rc and

q

c if you

use polar coordinates).
Derivatives, integrals,
distances, etc., are stored in
the system variable
sysMath.

On the Derivatives submenu,
only dy/dx is available for
function graphing. The other
derivatives are available for
other graphing modes
(parametric, polar, etc.).

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