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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