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Exam (elaborations)

Test Bank for Precalculus, 12th Edition by Michael Sullivan

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Test Bank for Precalculus, 12th Edition by Michael Sullivan. Complete chapters are included with answers. Exam Guide 1. Graphs 1.1 The Distance and Midpoint Formulas 1.2 Graphs of Equations in Two Variables; Intercepts; Symmetry 1.3 Lines 1.4 Circles Chapter 1 Review, Test, and Projects 2. Functions and Their Graphs 2.1 Functions 2.2 The Graph of a Function 2.3 Properties of Functions 2.4 Library of Functions; Piecewise-defined Functions 2.5 Graphing Techniques: Transformations 2.6 Mathematical Models: Building Functions Chapter 2 Review, Test, and Projects 3. Linear and Quadratic Functions 3.1 Properties of Linear Functions and Linear Models 3.2 Building Linear Models from Data 3.3 Quadratic Functions and Their Properties 3.4 Build Quadratic Models from Verbal Descriptions and from Data 3.5 Inequalities Involving Quadratic Functions Chapter 3 Review, Test, and Projects 4. Polynomial and Rational Functions 4.1 Polynomial Functions 4.2 Graphing Polynomial Functions; Models 4.3 Properties of Rational Functions 4.4 The Graph of a Rational Function 4.5 Polynomial and Rational Inequalities 4.6 The Real Zeros of a Polynomial Function Chapter 4 Review, Test, and Projects 5. Exponential and Logarithmic Functions 5.1 Composite Functions 5.2 One-to-One Functions; Inverse Functions 5.3 Exponential Functions 5.4 Logarithmic Functions 5.5 Properties of Logarithms 5.6 Logarithmic and Exponential Equations 5.7 Financial Models 5.8 Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models 5.9 Building Exponential, Logarithmic, and Logistic Models from Data Chapter 5 Review, Test, and Projects 6. Trigonometric Functions 6.1 Angles, Arc, Length, and Circular Motion 6.2 Trigonometric Functions: Unit Circle Approach 6.3 Properties of the Trigonometric Functions 6.4 Graphs of the Sine and Cosine Functions 6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions 6.6 Phase Shift; Sinusoidal Curve Fitting Chapter 6 Review, Test, and Projects 7. Analytic Trigonometry 7.1 The Inverse Sine, Cosine, and Tangent Functions 7.2 The Inverse Trigonometric Functions (Continued) 7.3 Trigonometric Equations 7.4 Trigonometric Identities 7.5 Sum and Difference Formulas 7.6 Double-angle and Half-angle Formulas 7.7 Product-to-Sum and Sum-to-Product Formulas Chapter 7 Review, Test, and Projects 8. Applications of Trigonometric Functions 8.1 Right Triangle Trigonometry; Applications 8.2 The Law of Sines 8.3 The Law of Cosines 8.4 Area of a Triangle 8.5 Simple Harmonic Motion; Damped Motion; Combining Waves Chapter 8 Review, Test, and Projects 9. Polar Coordinates; Vectors 9.1 Polar Coordinates 9.2 Polar Equations and Graphs 9.3 The Complex Plane; De Moivre's Theorem 9.4 Vectors 9.5 The Dot Product 9.6 Vectors in Space 9.7 The Cross Product Chapter 9 Review, Test, and Projects 10. Analytic Geometry 10.1 Conics 10.2 The Parabola 10.3 The Ellipse 10.4 The Hyperbola 10.5 Rotation of Axes; General Form of a Conic 10.6 Polar Equations of Conics 10.7 Plane Curves and Parametric Equations Chapter 10 Review, Test, and Projects 11. Systems of Equations and Inequalities 11.1 Systems of Linear Equations: Substitution and Elimination 11.2 Systems of Linear Equations: Matrices 11.3 Systems of Linear Equations: Determinants 11.4 Matrix Algebra 11.5 Partial Fraction Decomposition 11.6 Systems of Nonlinear Equations 11.7 Systems of Inequalities 11.8 Linear Programming Chapter 11 Review, Test, and Projects 12. Sequences; Induction; the Binomial Theorem 12.1 Sequences 12.2 Arithmetic Sequences 12.3 Geometric Sequences; Geometric Series 12.4 Mathematical Induction 12.5 The Binomial Theorem Chapter 12 Review, Test, and Projects 13. Counting and Probability 13.1 Counting 13.2 Permutations and Combinations 13.3 Probability Chapter 13 Review, Test, and Projects 14. A Preview of Calculus: The Limit, Derivative, and Integral of a Function 14.1 Finding Limits Using Tables and Graphs 14.2 Algebra Techniques for Finding Limits 14.3 One-sided Limits; Continuous Functions 14.4 The Tangent Problem; The Derivative 14.5 The Area Problem; The Integral Chapter 14 Review, Test, and Projects

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Course
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Institution
Calculus
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Uploaded on
September 28, 2024
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2024/2025
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Sullivan Precalculus 12e
Chapter 1 Test Item File


MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Name the quadrant in which the point is located.
1) (6, 15)
A) I B) II C) III D) IV
Objective: (1.1) Rectangular Coordinates


2) (-18, 6)
A) I B) II C) III D) IV
Objective: (1.1) Rectangular Coordinates


3) (-7, -10)
A) I B) II C) III D) IV
Objective: (1.1) Rectangular Coordinates


4) (12, -18)
A) I B) II C) III D) IV
Objective: (1.1) Rectangular Coordinates


Identify the points in the graph for the ordered pairs.
y

D
B 5
A E
C

G F
-5 5 x
H
J K
I
-5 L




5) (0, 2), (4, 3)
A) B and C B) C and E C) C and K D) F and E
Objective: (1.1) Rectangular Coordinates


6) (-5, -4), (0, -3)
A) A and G B) I and J C) G and I D) A and J
Objective: (1.1) Rectangular Coordinates


7) (-3, 4), (2, 0), (4, -5)
A) B, F, and L B) F, K, and L C) B, C, and L D) A, B, and F
Objective: (1.1) Rectangular Coordinates




1

, 8) (3, 5), (-3, 0)
A) L and J B) I and G C) D and J D) D and G
Objective: (1.1) Rectangular Coordinates


Give the coordinates of the points shown on the graph.
9)
y
A

B
5




-5 5 x



-5




A) A = (7, 24), B = (5, -2) B) A = (4, 5), B = (7, 5)
C) A = (4, 7), B = (5, -2) D) A = (4, 7), B = (-2, 5)
Objective: (1.1) Rectangular Coordinates


10)
y
C

5




-5 5 x


D
-5




A) C = (-5, 7), D = (-5, 4) B) C = (-5, 7), D = (4, -5)
C) C = (-5, -5), D = (7, -5) D) C = (7, -5), D = (-5, 4)
Objective: (1.1) Rectangular Coordinates




2

, 11)
y



E 5




-5 5 x

F
-5




A) E = (-3, 4), F = (-3, -4) B) E = (-3, -4) , F = (-3, 4)
C) E = (4, -3), F = (-4, -3) D) E = (-3, -4), F = (4, -4)
Objective: (1.1) Rectangular Coordinates


12)
y



H 5




-5 5 x


G
-5




A) G = (-5, 6), H = (4, -7) B) G = (6, 4), H = (-5, 4)
C) G = (6, -5), H = (-7, 4) D) G = (6, -5), H = (4, -7)
Objective: (1.1) Rectangular Coordinates


Plot the point in the xy-plane. Tell in which quadrant or on what axis the point lies.
13) (1, 6)
y


5




-5 5 x




-5




3

, A) B)
y y

5 5




-5 5 x -5 5 x



-5 -5



Quadrant I Quadrant I
C) D)
y y

5 5




-5 5 x -5 5 x




-5 -5



Quadrant IV Quadrant II
Objective: (1.1) Rectangular Coordinates


14) (-5, 2)
y

5




-5 5 x




-5




4

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