This laboratory manual serves as a valuable companion to any precalculus text. Each of the manual's laboratory projects is designed for group collaboration, and each project culminates in a written report submitted by the group. This manual can be used with either a graphing calculator or a computer graphing program. Guides for the TI-82, TI-83, TI-85, TI-86, and TI-92 graphing calculators are included. Topics are presented in the traditional order, beginning with linear and quadratic functions and ending with exponential, logarithmic, and trigonometric functions.

### Table of Contents

A Letter to the Students / For the Student: Guidelines for Lab Reports

LABORATORY I A: FAHRENHEIT

LABORATORY I B: PROGRAMMING YOUR VCR

Linear Functions / The Graphing Game / Have It Your Way / "A Big Moosetake." LABORATORY II: GALILEO / Quadratic Functions / "Don't Fence Me In." Exploring Quadratics / Feeling Run Down? Diagonals of a Polygon

LABORATORY III: GRAPH-TREK

Shifting and Reflecting Graphs / Fun House Mirrors / The Accordion Effect / Self Reflection / Double Reflection / Symmetry Test / It's Absolute / Beautiful / Compositions

LABORATORY IV: ELECTRIC ENERGY

Inequalities / Least Squares Line / Skeleton Keys / "It's Not Easy Being Green." Positive Results

LABORATORY V: PACKAGES

Polynomial Functions / Exploring Polynomials / Repeated Roots / What Power?

LABORATORY VI: DOORMATS

Rational Functions / Black Holes and Vertical Asymptotes / Long-Term Behavior of Rational Functions / Optimize for a Ban on Waste / How Effective Is a Drug Test?

LABORATORY VII A: AIDS

LABORATORY VII B: WASTING AWAY

Exponential Growth and Decay / Exploring Exponential Functions / Exponential Growth / Compound Interest / Making a Difference / Garbage / "Vamoose." Limits to Growth

LABORATORY VIII: EARTHQUAKES

Logarithmic Functions / Exploring Logarithmic Functions / Algebraically Equivalent Functions / Alternate Formula for M(x) / "I Hear the Train a-Comin..."

LABORATORY IX: DAYLIGHT AND SAD

Trigonometric Functions / SAD and Latitude / An Alternate Variety of SAD / Down the Drain / Don't Lean on Me / Lord of All I Survey

LABORATORY X: BORDEAUX

Multivariable Functions / Quilts / Lost in the Supermarket / Wind Chill / More Energy

LABORATORY XI: BEZIER CURVES

Parametric Equations / What Goes Around Comes Around / Parametric Impersonations of a Fly / Inverses, Parametric Style / Appendix: The TI-82/83 Graphing Calculator; the TI-85/86 Graphing Calculator; the TI-92 Calculator: Primers