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Precalculus

Index

PrecalculusIndex

A
AAS (angle-angle-side) 8.1 Non-right Triangles: Law of Sines
absolute value equation 1.6 Absolute Value Functions
absolute value inequality 1.6 Absolute Value Functions
Addition Principle 11.5 Counting Principles
angle of depression 5.4 Right Triangle Trigonometry
angle of rotation 10.4 Rotation of Axes
angular speed 5.1 Angles
annual percentage rate (APR) 4.1 Exponential Functions
Archimedes’ spiral 8.4 Polar Coordinates: Graphs
area of a sector 5.1 Angles, 5.1 Angles
arrow notation 3.7 Rational Functions
asymptotes 10.2 The Hyperbola
axes of symmetry 10.2 The Hyperbola
C
Cartesian equation 8.3 Polar Coordinates
center of a hyperbola 10.2 The Hyperbola
center of an ellipse 10.1 The Ellipse
central rectangle 10.2 The Hyperbola
circumference 5.1 Angles
co-vertex 10.1 The Ellipse
co-vertices 10.1 The Ellipse
combining functions 1.4 Composition of Functions
common logarithm 4.3 Logarithmic Functions
complement of an event 11.7 Probability
Complex Conjugate Theorem 3.6 Zeros of Polynomial Functions
composite function 1.4 Composition of Functions
composition of functions 1.4 Composition of Functions
compound interest 4.1 Exponential Functions
conic section 10.4 Rotation of Axes
conic sections 8.6 Parametric Equations
conjugate axis 10.2 The Hyperbola
constant of variation 3.9 Modeling Using Variation
constant rate of change 2.3 Modeling with Linear Functions
coordinate plane 10.3 The Parabola
correlation coefficient 2.4 Fitting Linear Models to Data
coterminal angles 5.1 Angles, 5.1 Angles, 5.1 Angles
curvilinear path 8.6 Parametric Equations
D
decompose a composite function 1.4 Composition of Functions
decomposition 9.4 Partial Fractions
decreasing linear function 2.1 Linear Functions
degenerate conic sections 10.4 Rotation of Axes
Descartes’ Rule of Signs 3.6 Zeros of Polynomial Functions
difference quotient 12.4 Derivatives
differentiable 12.4 Derivatives
dimpled limaçons 8.4 Polar Coordinates: Graphs
direct variation 3.9 Modeling Using Variation
discontinuous 12.3 Continuity
discontinuous function 12.3 Continuity
displacement 5.1 Angles
domain of a composite function 1.4 Composition of Functions
dot product 8.8 Vectors
E
experiment 11.7 Probability
exponential function 4.1 Exponential Functions
I
imaginary number 3.1 Complex Numbers
increasing linear function 2.1 Linear Functions
index of summation 11.4 Series and Their Notations
infinite geometric sequence 11.4 Series and Their Notations
initial point 8.8 Vectors, 8.8 Vectors
initial side 5.1 Angles
inner-loop limaçons 8.4 Polar Coordinates: Graphs
instantaneous rate of change 12.4 Derivatives
instantaneous velocity 12.4 Derivatives
Intermediate Value Theorem 3.4 Graphs of Polynomial Functions
intersection 11.7 Probability
inverse cosine function 6.3 Inverse Trigonometric Functions
inverse of a radical function 3.8 Inverses and Radical Functions
inverse of a rational function 3.8 Inverses and Radical Functions
inverse sine function 6.3 Inverse Trigonometric Functions
inverse tangent function 6.3 Inverse Trigonometric Functions
inverse variation 3.9 Modeling Using Variation
inverse variations 3.9 Modeling Using Variation
inversely proportional 3.9 Modeling Using Variation
invertible functions 3.8 Inverses and Radical Functions
J
jump discontinuity 12.3 Continuity
L
least common denominator (LCD) 12.2 Finding Limits: Properties of Limits
least squares regression 2.4 Fitting Linear Models to Data
linear relationship 2.4 Fitting Linear Models to Data
linear speed 5.1 Angles
long division 3.5 Dividing Polynomials
lower limit of summation 11.4 Series and Their Notations
P
parallelograms 8.8 Vectors
partial fraction 9.4 Partial Fractions
partial fraction decomposition 9.4 Partial Fractions, 9.4 Partial Fractions
Pascal's Triangle 11.6 Binomial Theorem
perpendicular lines 2.2 Graphs of Linear Functions
point-slope form 2.1 Linear Functions
point-slope formula 10.2 The Hyperbola
polar form of a complex number 8.5 Polar Form of Complex Numbers
position vector 8.8 Vectors, 8.8 Vectors
positive angle 5.1 Angles, 5.1 Angles
probability 11.7 Probability
probability model 11.7 Probability
product of two matrices 9.5 Matrices and Matrix Operations
properties of determinants 9.8 Solving Systems with Cramer's Rule
R
radian measure 5.1 Angles, 5.1 Angles, 5.1 Angles
reciprocal function 3.7 Rational Functions
Restricting the domain 1.7 Inverse Functions
resultant 8.8 Vectors
S
sample space 11.7 Probability
SAS (side-angle-side) triangle 8.2 Non-right Triangles: Law of Cosines
secant line 12.4 Derivatives
sector of a circle 5.1 Angles
set-builder notation 1.2 Domain and Range
slope of the curve 12.4 Derivatives
slope of the tangent 12.4 Derivatives
slope-intercept form 2.1 Linear Functions
solving systems of linear equations 9.1 Systems of Linear Equations: Two Variables
SSS (side-side-side) triangle 8.2 Non-right Triangles: Law of Cosines
standard form of a quadratic function 3.2 Quadratic Functions
standard position 5.1 Angles, 5.1 Angles, 8.8 Vectors
stepwise function 12.3 Continuity
sum and difference formulas for cosine 7.2 Sum and Difference Identities
sum and difference formulas for sine 7.2 Sum and Difference Identities
sum and difference formulas for tangent 7.2 Sum and Difference Identities
summation notation 11.4 Series and Their Notations
system of three equations in three variables 9.8 Solving Systems with Cramer's Rule
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