The College Algebra
TI-83/TI-84 Tutorial

INSTRUCTIONS

How To Use The Tutorial
Default Settings
Screen Contrast

ARITHMETIC

Order Of Operations
Arithmetic Operations
Fractions
Absolute Value
Exponents
Roots
Scientific Notation
Complex Numbers

LOGIC

Test Operations

GRAPHING

Window Settings

Obtaining a standard viewing window

Adjusting the window settings

ZDecimal

ZInteger

Zoom Commands

ZStandard

ZBox

Zoom In

Zoom Out

ZoomFit

Graphing Discrete Data

Entering data using the stat list editor

Setting up a stat plot

Turning Off A Stat Plot

FUNCTIONS

Evaluating A Function

Evaluating a function on the Home screen

Defining a function in the Y= editor

Using function notation on the Home screen

Using the TABLE in Ask mode

Using the TABLE in Auto mode

Evaluating a function from the graph

Basic Graphing And Analysis

Setting an appropriate WINDOW

Using TRACE

Evaluating the function from the graph

Finding zeros

Finding relative extrema

Piecewise Defined Functions

Greatest Integer function

Graphing a piecewise-defined function

Function Composition

Evaluating a composition on the Home screen

Graphing a composition function

Inverse Functions

Horizontal line test for one-to-one function

Graphing an inverse

Testing for inverses

LINEAR FUNCTIONS

Graphing And Analysis

Graphing a linear function

Finding the x and y-intercepts

Horizontal and vertical lines

Perpendicular lines and ZSquare

Solving Linear Equations

Using the x-intercept method

Using the intersection method

Using the Solver

Solving Linear Inequalities

QUADRATIC FUNCTIONS

Graphing And Analysis

Graphing a quadratic function

Finding the x and y-intercepts

Finding the vertex

Solving Quadratic Equations

Using the x-intercept method
Using the Solver

Solving Quadratic Inequalities

ABSOLUTE VALUE FUNCTIONS

Graphing And Analysis
Solving Equations
Solving Inequalities

ROOT FUNCTIONS

Graphing And Analysis
Solving Radical Equations
Solving Radical Inequalities

POLYNOMIAL FUNCTIONS

Graphing

Graphing a polynomial function
Finding the x and y-intercepts
Finding relative maxima and minima

Solving Polynomial Equations

Finding rational zeros
Writing a polynomial function in factored form

Solving Polynomial Inequalities

RATIONAL FUNCTIONS

Asymptotic Behavior

Investigating a vertical asymptote
Investigating a horizontal asymptote

Graphing And Analysis

Graphing a rational function
Graphing in dot mode
Finding the x and y-intercepts
Finding relative maxima and minima
Graphing a horizontal asymptote
Graphing a vertical asymptote
Graphing a slant asymptote
Graphs with "holes"

Solving Rational Equations
Solving Rational Inequalities

EXPONENTIAL FUNCTIONS

Evaluating

General Base
Base 10
Natural Exponential Function
Compound Interest

Graphing And Analysis

Graphing an exponential function
Finding the x and y-intercepts
Graphing the horizontal asymptote
Natural exponential function

Solving Exponential Equations

Solving equations (intersection method)
Solving equations (x-intercept method)

Compound Interest
Solving Exponential Inequalities

LOGARITHMIC FUNCTIONS

Evaluating

Common logarithm
Natural logarithm
General base using the change of base formula

Graphing And Analysis

Graphing the inverse of an exponential function
Graphing a logarithmic function using the change of base formula
Finding the x and y-intercepts
Graphing the vertical asymptote
Natural logarithmic function

Solving Logarithmic Equations

Solving equations (intersection method)
Solving equations (x-intercept method)

Solving Logarithmic Inequalities

REGRESSION

Linear Regression

Entering data using the stat list editor
Turning on the correlation coefficient
Calculating the least-squares regression model
Graphing the regression model against the data

Quadratic Regression
Polynomial Regression
Exponential Regression
Logarithmic Regression
Turning Off Stat Plots

CONIC SECTIONS

Circles

Graphing a circle
Drawing a circle

Parabolas
Ellipses
Hyperbolas

PARAMETRIC EQUATIONS

Graphing Plane Curves

Changing to parametric mode
Defining parametric equations in the Y= editor
WINDOW settings
Evaluating a plane curve from the graph

Evaluating With The TABLE
Returning To Function Mode

MATRICES

Matrix Operations

Entering a matrix using the matrix editor
Addition, subtraction and scalar multiplication
Opposite of a matrix
Matrix multiplication

Determinants
Transpose Of A Matrix
Inverse Matrix

SYSTEMS OF EQUATIONS

Solving Graphically

Finding intersection points
Finding x-intercepts of the difference function

Using The SOLVER
Gaussian Elimination

Entering the augmented matrix
Using row operations to obtain row-echelon form
Using ref to obtain row-echelon form

Gauss-Jordan Reduction

Gauss-Jordan reduction with row operations
Using rref for reduced row-echelon form

Solving With An Inverse Matrix
Cramer's Rule

INEQUALITIES IN TWO VARIABLES

Graphing A Solution Set
Systems Of Inequalities
Linear Programming

SEQUENCES

Evaluating A Sequence

Finding terms in function mode
Defining a sequence in sequence mode
Finding terms from the home screen
Using the TABLE
Recursively defined sequences

Graphing A Sequence

Graphing a non-recursive sequence
Graphing a recursive sequence
Evaluating a sequence from the graph

Sums

Finding sums in function mode
Partial sums
Finding sums in sequence mode

Returning To Function Mode

PROBABILITY

Binomial Theorem

Computing coefficients
Factorial

Permutations
Combinations

The College AlgebraTI-83/TI-84 Tutorial

TABLE OF CONTENTS