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