College Algebra 9th txtbk

SUBJECT INDEX I-9
Rise, 134
Rocket equation, 368
Roots. See also Square roots
cube, 14
of equation, 176
of functions, 261–262
nth, 14–16
real, 84
of real numbers, 14–15
Rounding convention, 583–584
Row-equivalent matrices, 444
Row matrices, 442, 461–462
Row operations, 443
Run, 134
Sample spaces
example of, 546
explanation of, 543–544
fundamental, 545
method to choose, 544–545
Scatter plots, 152
Scientific notation, 13–14
Second-degree polynomial functions. See Quadratic functions
Second-degree polynomials, factoring, 27–28
Second diagonal, 488
Second-order determinants, 487, 488
Sequences
arithmetic, 520, 522–523
explanation of, 504–505, 564
Fibonacci, 505–506
finite, 505
general term of, 506–507
geometric, 521–523
on graphing calculators, 505, 507
infinite, 505
terms of, 504
Series
explanation of, 507, 564
finite, 507
infinite, 507, 526–527
sum formulas for finite arithmetic, 523–524
sum formulas for geometric, 525–527
in summation notation, 508
terms of, 508
Sets
of complex numbers, 75
empty or null, 2
equal, 3
of integers, 2
intersection of, 59
of real numbers, 2–3, 6, 8, 164
replacement, 44
union of, 59
Shrinking, in graphs, 193–196
Significant digits, 582–583
Simple events, 544, 547, 550
Simple fractions, 36
Singular matrix, 472
Slope
explanation of, 134
geometric interpretation of, 135
method to find, 134–136
of parallel lines, 141–142
of perpendicular lines, 141–142
as rate of change, 148–149
Slope-intercept form, 137–138, 140
Solutions
of equations, 44, 111
extraneous, 98, 105
of linear systems, 424, 426–427
particular, 432
unique, 427
Solution set
of equations, 44, 111
of inequalities, 59–60
of linear systems, 424
of quadratic inequalities, 211
Speed, 148. See also Rate of change
Spheres, 599
Square functions, 188, 203, 204
Square matrices
explanation of, 442
inverse of, 471–473, 476
of order n, 470–471
Square root functions, 189
Square root property, 86–87
Square roots, 14, 80
Squaring operation on equations, 98
Standard deck, 540
Standard form
of complex numbers, 80
of equation of circle, 128
of equation of line, 133, 140
of linear equations, 45
of quadratic equations, 84, 100
quadratic inequalities in, 211
Stretching, in graphs, 193–196
Subset, 2
Substitution
to solve equations of quadratic type, 101
to solve linear systems, 427–428, 431, 432
Substitution property, of equality, 45
Subtraction
of complex numbers, 76–77
of matrices, 458–459
of polynomials, 24
of rational expressions, 34–36
of real numbers, 7
Subtraction properties, of equality, 45
Sum formulas
for finite arithmetic series, 523–524
for finite geometric series, 525
for infinite geometric series, 526–527
Sum function, 224–225
Summation formula, proof of, 514–515
Summation notation, 507, 508
Summing index, 507
Sum of cubes formula, 28, 29
Sum of the squares of the residuals (SSR), 383
Supply, 435
Symbols. See Notation/symbols
Symmetry
as aid in graphing, 113–117
axis of, 205
in even and odd functions, 197
tests for, 115–116
Symmetry property, 244–245
Synthetic division, 268–269
Synthetic division table, 279
Systems of linear equations
applications of, 434–437, 452–454
basic terms of, 427
Cramer’s rule to solve, 491–494