Tables, functions defined by, 218

Tap-water flow, friction and, 61, 63–64

Tartaglia, Nicolo, 376

Tax revenues, 384

Technology matrix, 628

Temperature

• converting between Celsius and Fahrenheit, 87–88, 151

• cricket chirps and, 2, 15–16

• inside a parked car, modeling, 498–499

Term(s)

• of an arithmetic sequence, 730–731

• of a binomial expansion, 763–764

• constant, 31, 332

• of a geometric sequence, 740–741, 742–743

• of a polynomial, 31

• of a polynomial function, 332

• of a sequence, 716

Terminating decimals, 3

Test-point method, for solving inequalities, 151–153

Theorems

• Binomial, 759–766

• complex conjugate product theorem, 124

• Conjugate Pairs, 378–381

• Factor, 358–360, 376

• Factorization Theorem for Polynomials, 377, 379

• Fundamental, of Algebra, 377

• Intermediate Value, 338–339, 365

• Number of Zeros, 378

• Pythagorean, 178, 179

• Rational Zeros, 365–367

• Remainder, 357–358

Threshold of hearing (TOH), 493

Time, interest and, 430

Time dilation, 130, 139–140

TOH (threshold of hearing), 493

Transcendental numbers/functions, 436

Transformations of functions, 263–280

• combining, 268

• on exponential functions, 427–430

• on logarithmic functions, 451–452

• multiple, in sequence, 272–274

• nonrigid, 269–272

• reflections and, 267–269

• rigid, 263, 267

• stretching or compressing and, 269–272

• vertical and horizontal shifts and, 263–266

Transition points, 255

Transitive property, 7

Translations

• of an ellipse, 680–684

• graphing rational functions using, 388–392

• of a hyperbola, 698–701

• of a parabola, 667–670

Transverse axis, of a hyperbola, 691

Triangles, right. See Right triangles

Trichotomy property, 7

Trinomials, 31

• multiplying with a binomial, 33–34

• multiplying with a monomial, 33

• perfect-square, 109

Turning points, 238, 341–342

Tut, King, 462, 470–471