College Algebra 9th txtbk

I-8 SUBJECT INDEX
Pure imaginary numbers, 75
Pythagoreans, 74
Pythagorean theorem, 92, 411, 598
Quadrants, 110
Quadratic equations
applications for, 91–93
completing the square to solve, 87–89
explanation of, 84, 105
factoring to solve, 84–86
methods to solve, 100–102
quadratic formula to solve, 89–91
square root property to solve, 86–87
Quadratic factors, 589–590
Quadratic formula
explanation of, 90
to solve quadratic equations, 89–90
use of, 294–295, 586
Quadratic functions
explanation of, 204, 251–252
general form of, 204
graphs of, 204–209
modeling with, 210–211
properties of, 206
Quadratic inequalities
explanation of, 211–212, 252
method to solve, 212–214
Quadratic regression, 214–215
Quadratic solving techniques
applications using, 102
direct solution, 100
example of, 101
substitution method as, 101
Quantity-rate-time formula, 50
Quartic models, 273
Quotient function, 224–225
Quotients
difference, 170
explanation of, 267
of functions, 226
Radical inequalities, 71–72
Radicals
equations involving, 97–99
explanation of, 15, 39–40
properties of, 17, 81
in simplified form, 17–19
use of, 16–17
Radius, of circle, 127, 129
Random experiments, 543–546
Range, of functions, 163, 166, 177
Rate of change, 148–149
Rational exponents
explanation of, 15–16
use of, 16–17
Rational expressions
addition and subtraction of, 34–36
compound fraction, 36–37
explanation of, 32, 40
multiplication and division of, 33–34
reduced to lowest terms, 32–33
Rational functions
domain and x intercepts of, 299
explanation of, 298–299, 322–323
graphs of, 299–301, 304–310
oblique asymptotes of, 308
properties of, 300–301
vertical and horizontal asymptotes of, 302–304
Rational inequalities
explanation of, 310, 322–323
on graphing calculators, 311
method to solve, 310–311
Rationalizing factor, 18
Rationalizing the denominator, 18–19
Rational numbers
addition and multiplication of, 3–7
explanation of, 2, 298
Rational zeros
explanation of, 292–293, 322
method for finding, 293–295
Rational zero theorem, 293
Real number line, 3
Real numbers
addition of, 3–7
division of, 7
explanation of, 2, 39, 75
multiplication of, 3–7
negative, 3, 7, 8, 80
positive, 3
properties of, 6
roots of, 14–15
set of, 2–3, 6, 8, 164
subtraction of, 7
Real root, 84
Real zeros
approximation of, 282–283
explanation of, 278, 322
upper and lower bound for, 278–279
Reciprocals, 78–79
Rectangles, 407, 598
Rectangular coordinate system. See Cartesian coordinate
system
Rectangular solids, 599
Recursion formulas
explanation of, 505
use of, 515–516
Recursive formula n factorial, 535
Reduced augmented coefficient, 450, 451
Reduced matrices, 444–447
Reduced polynomials, 294
Reduced system, 447
Reflections
explanation of, 114
of graphs of functions, 191–193, 195
Regression
on graphing calculators, 153
linear, 151–154
logarithmic, 369
quadratic, 214–215
Regression analysis, 151
Regression line, 153
Regression models, 383
Relative frequency, 553
Relative growth rate, 341
Remainder, 267
Remainder theorem, 269–270
Replacement set, 44. See also Domain
Residuals, 383
Revenue, 93
Richter scale, 367
Right circular cones, 386n, 599
Right circular cylinders, 599
Rigid transformations, 193