College Trigonometry, 2011a

Index 1073
reflective property, 523
standard equation, 519
vertices, 516
ellipsis (. . . ), 31, 651
empty set, 2
end behavior
of f(x) =ax n ,n even, 240
of f(x) =ax n ,n odd, 240
of a function graph, 239
polynomial, 243
entry
in a matrix, 567
equation
contradiction, 549
graph of, 23
identity, 549
linear of n variables, 554
linear of two variables, 549
even function, 95
Even/Odd Identities, 770
exponential function
algebraic properties of, 437
change of base formula, 442
common base, 420
definition of, 418
graphical properties of, 419
inverse properties of, 437
natural base, 420
one-to-one properties of, 437
solving equations with, 448
extended interval notation, 756
Factor Theorem, 258
factorial, 654, 681
fixed cost, 82
focal diameter of a parabola, 507
focal length of a parabola, 506
focus
of a conic section in polar form, 981
focus (foci)
of a hyperbola, 531
of a parabola, 505
of an ellipse, 516
free variable, 552
frequency
angular, 708, 881
of a sinusoid, 795
ordinary, 708, 881
function
(absolute) maximum, 101
(absolute, global) minimum, 101
absolute value, 173
algebraic, 399
argument, 55
arithmetic, 76
as a process, 55, 378
average cost, 82
circular, 744
composite
definition of, 360
properties of, 367
constant, 100, 156
continuous, 241
cost, 82
decreasing, 100
definition as a relation, 43
dependent variable of, 55
difference, 76
difference quotient, 79
domain, 45
even, 95
exponential, 418
Fundamental Graphing Principle, 93
identity, 168
increasing, 100
independent variable of, 55
inverse
definition of, 379
properties of, 379
solving for, 384
uniqueness of, 380
linear, 156
local (relative) maximum, 101
local (relative) minimum, 101
logarithmic, 422