TEST BANK
Precalculus
Margaret Lial
6th Edition
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FD
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,Precalculus, 6th Edition — Table of Contents
R. Review of Basic Concepts
R-1 Sets
R-2 Real Numbers and Their Properties
R-3 Polynomials
R-4 Factoring Polynomials
R-5 Rational Expressions
R-6 Rational Exponents
R-7 Radical Expressions
1. Equations and Inequalities
1-1 Linear Equations
1-2 Applications and Modeling with Linear Equations
1-3 Complex Numbers
1-4 Quadratic Equations
1-5 Applications and Modeling with Quadratic Equations
1-6 Other Types of Equations and Applications
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1-7 Inequalities
1-8 Absolute Value Equations and Inequalities
2. Graphs and Functions
2-1 Rectangular Coordinates and Graphs
2-2 Circles
2-3 Functions
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2-4 Linear Functions
2-5 Equations of Lines and Linear Models
2-6 Graphs of Basic Functions
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2-7 Graphing Techniques
2-8 Function Operations and Composition
3. Polynomial and Rational Functions
3-1 Quadratic Functions and Models
3-2 Synthetic Division
3-3 Zeros of Polynomial Functions
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3-4 Polynomial Functions: Graphs, Applications, and Models
3-5 Rational Functions: Graphs, Applications, and Models
3-6 Variation
4. Inverse, Exponential, and Logarithmic Functions
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4-1 Inverse Functions
4-2 Exponential Functions
4-3 Logarithmic Functions
4-4 Evaluating Logarithms and the Change-of-Base Theorem
4-5 Exponential and Logarithmic Equations
4-6 Applications of Models of Exponential Growth and Decay
5. Trigonometric Functions
5-1 Angles
5-2 Trigonometric Functions
5-3 Trigonometric Function Values and Angle Measures
,COLLEGE ALGEBRA AND TRIGONOMETRY DATE
1. Match the set described in Column I with the correct interval 1. a.
notation from Column II. Choices in Column II may be used
once, more than once, or not at all. b.
I II c.
a. Domain of f (x) = A. (−, ) d.
b. Range of f (x) = x −3 B. 3, )
c. Domain of f ( x) = x2 −16 C. 0, 2 e.
d. Range of y = 2x 2
D. 0, )
e. Domain of f (x) = 3
x−2 E. −3, 3 f.
f. Range of f (x) = 3 x +2 F. (−, −2
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g. Domain of f (x) = x + 2 G. −3, ) g.
h. Range of f (x) = x + 3 H. −7, )
i. Domain of y = 2s 2
h.
j. Range of f ( x) = x2 − 7
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i.
j.
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The graph shows the line that passes through the points ( − 5, − 3)
and ( − 1, 4). Refer to it to answer Exercises 2–6.
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2. What is the slope of the line? 2.
3. What is the distance between the two points shown? 3.
4. What are the coordinates of the midpoint of the segment 4.
joining the two points?
5. Find the standard form of the equation of the line. 5.
6. Write the linear function defined by f (x) = ax + b that 6.
has this line as its graph.
, CHAPTER 2, FORM A
Tell whether each graph is that of a function. Give the domain and the range. If it is a function, give the intervals
where it is increasing, decreasing, or constant.
7. 7.
8. 8.
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2 3
9. Suppose point P has coordinates , .
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a. What is the equation of the vertical line through P? 9. a.
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b. What is the equation of the horizontal line through P? b.
10. Find the slope-intercept form of the equation of the line passing
through (2, 5) and
a. parallel to the graph of y = 4x − 7; 10. a.
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b. perpendicular to the graph of y = 4x − 7. b.
C
Graph each relation.
11. x = 2 y − 3 + 1 11.
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.
Precalculus
Margaret Lial
6th Edition
PR
O
FD
O
C
,Precalculus, 6th Edition — Table of Contents
R. Review of Basic Concepts
R-1 Sets
R-2 Real Numbers and Their Properties
R-3 Polynomials
R-4 Factoring Polynomials
R-5 Rational Expressions
R-6 Rational Exponents
R-7 Radical Expressions
1. Equations and Inequalities
1-1 Linear Equations
1-2 Applications and Modeling with Linear Equations
1-3 Complex Numbers
1-4 Quadratic Equations
1-5 Applications and Modeling with Quadratic Equations
1-6 Other Types of Equations and Applications
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1-7 Inequalities
1-8 Absolute Value Equations and Inequalities
2. Graphs and Functions
2-1 Rectangular Coordinates and Graphs
2-2 Circles
2-3 Functions
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2-4 Linear Functions
2-5 Equations of Lines and Linear Models
2-6 Graphs of Basic Functions
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2-7 Graphing Techniques
2-8 Function Operations and Composition
3. Polynomial and Rational Functions
3-1 Quadratic Functions and Models
3-2 Synthetic Division
3-3 Zeros of Polynomial Functions
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3-4 Polynomial Functions: Graphs, Applications, and Models
3-5 Rational Functions: Graphs, Applications, and Models
3-6 Variation
4. Inverse, Exponential, and Logarithmic Functions
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4-1 Inverse Functions
4-2 Exponential Functions
4-3 Logarithmic Functions
4-4 Evaluating Logarithms and the Change-of-Base Theorem
4-5 Exponential and Logarithmic Equations
4-6 Applications of Models of Exponential Growth and Decay
5. Trigonometric Functions
5-1 Angles
5-2 Trigonometric Functions
5-3 Trigonometric Function Values and Angle Measures
,COLLEGE ALGEBRA AND TRIGONOMETRY DATE
1. Match the set described in Column I with the correct interval 1. a.
notation from Column II. Choices in Column II may be used
once, more than once, or not at all. b.
I II c.
a. Domain of f (x) = A. (−, ) d.
b. Range of f (x) = x −3 B. 3, )
c. Domain of f ( x) = x2 −16 C. 0, 2 e.
d. Range of y = 2x 2
D. 0, )
e. Domain of f (x) = 3
x−2 E. −3, 3 f.
f. Range of f (x) = 3 x +2 F. (−, −2
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g. Domain of f (x) = x + 2 G. −3, ) g.
h. Range of f (x) = x + 3 H. −7, )
i. Domain of y = 2s 2
h.
j. Range of f ( x) = x2 − 7
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i.
j.
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The graph shows the line that passes through the points ( − 5, − 3)
and ( − 1, 4). Refer to it to answer Exercises 2–6.
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C
2. What is the slope of the line? 2.
3. What is the distance between the two points shown? 3.
4. What are the coordinates of the midpoint of the segment 4.
joining the two points?
5. Find the standard form of the equation of the line. 5.
6. Write the linear function defined by f (x) = ax + b that 6.
has this line as its graph.
, CHAPTER 2, FORM A
Tell whether each graph is that of a function. Give the domain and the range. If it is a function, give the intervals
where it is increasing, decreasing, or constant.
7. 7.
8. 8.
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2 3
9. Suppose point P has coordinates , .
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a. What is the equation of the vertical line through P? 9. a.
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b. What is the equation of the horizontal line through P? b.
10. Find the slope-intercept form of the equation of the line passing
through (2, 5) and
a. parallel to the graph of y = 4x − 7; 10. a.
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b. perpendicular to the graph of y = 4x − 7. b.
C
Graph each relation.
11. x = 2 y − 3 + 1 11.
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