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, , 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,
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,
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,
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