i (imaginary unit), 119
Identities, 82, 145
Identity function, 249, 257
Identity matrix, 614
Identity property of real numbers, 12
Imaginary numbers, pure, 120
Imaginary part of a complex number, 120–121
Imaginary unit (i), 119
Impedance, 119
Improper expressions, 353
Inconsistent equations, 82, 85, 86
Inconsistent inequalities, 145
Inconsistent systems of linear equations in three variables, 530
Increasing functions, 235–237
Independent systems of linear equations, 530, 531
Independent variable, 185, 215
Indexes
different, radicals with, 66–67
of nth roots, 64
of summation, 722
Induction, mathematical, 752–758
Inequalities, –, 144–157
compound, 148–151
conditional, 145
defined, 145
equivalent, 145
exponential, 482–483
inconsistent, 145
involving absolute value, 160–163
linear, 146–148
logarithmic, 482–483
nonlinear, 564
nonnegative, 145
quadratic, test-point method for solving, 151–152
rational, test-point method for solving, 152–153
solving, 145
solving using test points, 151–153
Inequality symbols, , 144
Infinite geometric series, 738, 746–747
Infinite sequences, 716
Integer(s),
Integer exponents, –, 20–21
Intercepts, 187, 190–191
graphing linear equations using, 204–205
Interest, 94, 430–436
compound, 431–434
continuous compound interest formula and, 434–436
simple, 94–95, 430–431
Interest rate, 94, 430, 434
Interindustry technology input-output matrix, 628
Intermediate Value Theorem, 338–339
real zeros of a polynomial function and, 365
Intersections
Interval(s), –
Interval notation,
Inverse(s), of matricesa. See Matrix inverses
Inverse functions, 296–306
applications of, 301–302
finding, 298–300, 301
verifying, 297–298
Inverse property of real numbers, 12
Inverse variation, 406–407
Investments, 454–455
analyzing using systems of linear equations, 521–522
annuities and, 744–745
problems involving, modeling, 94–95
in stock market, 551, 554–555
Irrational numbers, –
Irreducible polynomials, 42, 44