# enVision Algebra 2 enVision Algebra 2

| ISBN: 9780328931590 / 0328931594

3,459

expert-verified solutions in this book

| ISBN: 9780328931590 / 0328931594

3,459

expert-verified solutions in this book

### Chapter 1

Linear Functions And Systems

 1-1 Key Features of Functions Explore and Reason p.5 Try It! p.6 Practice and Problem Solving p.10 1-2 Transformations of Functions Explore and Reason p.13 Try It! p.14 Practice and Problem Solving p.20 1-3 Piecewise-Defined Functions Model and Discuss p.23 Try It! p.24 Practice and Problem Solving p.28 1-4 Arithmetic Sequences and Series Critique and Explain p.31 Try It! p.32 Practice and Problem Solving p.37 1-5 Solving Equations and Inequalities by Graphing Model and Discuss p.40 Try It! p.41 Practice and Problem Solving p.44 1-6 Linear Systems Explore and Reason p.47 Try It! p.47 Practice and Problem Solving p.52 1-7 Solving Linear Systems Using Matrices Critique and Explain p.56 Try It! p.57 Practice and Problem Solving p.62 Topic Review p.65

### Chapter 2

 2-1 Vertex Form of a Quadratic Function Explore and Reason p.73 Try It! p.74 Practice and Problem Solving p.77 2-2 Standard Form of a Quadratic Function Critique and Explain p.80 Try It! p.81 Practice and Problem Solving p.85 2-3 Factored Form of a Quadratic Function Critique and Explain p.88 Try It! p.88 Practice and Problem Solving p.92 2-4 Complex Numbers and Operations Explore and Reason p.95 Try It! p.95 Practice and Problem Solving p.99 2-5 Completing the Square Critique and Explain p.102 Try It! p.103 Practice and Problem Solving p.107 2-6 The Quadratic Formula Explore and Reason p.110 Try It! p.111 Practice and Problem Solving p.114 2-7 Linear-Quadratic Systems Explore and Reason p.117 Try It! p.117 Practice and Problem Solving p.121 Topic Review p.124

### Chapter 3

Polynomial Functions

 3-1 Graphing Polynomial Functions Explore and Reason p.130 Try It! p.131 Practice and Problem Solving p.136 3-2 Adding, Subtracting, and Multiplying Polynomials Explore and Reason p.139 Try It! p.139 Practice and Problem Solving p.143 3-3 Polynomial Identities Explore and Reason p.146 Try It! p.147 Practice and Problem Solving p.151 3-4 Dividing Polynomials Explore and Reason p.154 Try It! p.155 Practice and Problem Solving p.159 3-5 Zeros of Polynomial Functions Model and Discuss p.162 Try It! p.163 Practice and Problem Solving p.167 3-6 Theorems about Roots of Polynomial Equations Critique and Explain p.171 Try It! p.171 Practice and Problem Solving p.176 3-7 Transformations of Polynomial Functions Explore and Reason p.179 Try It! p.180 Practice and Problem Solving p.184 Topic Review p.187

### Chapter 4

Rational Functions

 4-1 Inverse Variation and the Reciprocal Function Model and Discuss p.193 Try It! p.194 Practice and Problem Solving p.198 4-2 Graphing Rational Functions Explore and Reason p.201 Try It! p.201 Practice and Problem Solving p.207 4-3 Multiplying and Dividing Rational Expressions Explore and Reason p.210 Try It! p.211 Practice and Problem Solving p.214 4-4 Adding and Subtracting Rational Expressions Critique and Explain p.217 Try It! p.217 Practice and Problem Solving p.221 4-5 Solving Rational Equations Critique and Explain p.224 Try It! p.224 Practice and Problem Solving p.229 Topic Review p.233

### Chapter 5

 5-1 nth Roots, Radicals, and Rational Exponents Explore and Reason p.239 Try It! p.240 Practice and Problem Solving p.244 5-2 Properties of Exponents and Radicals Critique and Explain p.247 Try It! p.248 Practice and Problem Solving p.252 5-3 Graphing Radical Functions Explore and Reason p.255 Try It! p.256 Practice and Problem Solving p.260 5-4 Solving Radical Equations Explore and Reason p.263 Try It! p.263 Practice and Problem Solving p.269 5-5 Function Operations Model and Discuss p.273 Try It! p.274 Practice and Problem Solving p.278 5-6 Inverse Relations and Functions Explore and Reason p.281 Try It! p.282 Practice and Problem Solving p.287 Topic Review p.290

### Chapter 6

Exponential And Logarithmic Functions

 6-1 Key Features of Exponential Functions Explore and Reason p.297 Try It! p.298 Practice and Problem Solving p.302 6-2 Exponential Models Explore and Reason p.305 Try It! p.305 Practice and Problem Solving p.310 6-3 Logarithms Critique and Explain p.314 Try It! p.315 Practice and Problem Solving p.318 6-4 Logarithmic Functions Explore and Reason p.321 Try It! p.321 Practice and Problem Solving p.324 6-5 Properties of Logarithms Explore and Reason p.327 Try It! p.327 Practice and Problem Solving p.330 6-6 Exponential and Logarithmic Equations Model and Discuss p.333 Try It! p.333 Practice and Problem Solving p.337 6-7 Geometric Sequences and Series Explore and Reason p.340 Try It! p.341 Practice and Problem Solving p.346 Topic Review p.349

### Chapter 7

Trigonometric Functions

 7-1 Trigonometric Functions and Acute Angles Explore and Reason p.357 Try It! p.358 Practice and Problem Solving p.362 7-2 Angles and the Unit Circle Explore and Reason p.365 Try It! p.367 Practice and Problem Solving p.373 7-3 Trigonometric Functions and Real Numbers Explore and Reason p.376 Try It! p.377 Practice and Problem Solving p.380 7-4 Graphing Sine and Cosine Functions Explore and Reason p.383 Try It! p.384 Practice and Problem Solving p.389 7-5 Graphing Other Trigonometric Functions Explore and Reason p.393 Try It! p.394 Practice and Problem Solving p.397 7-6 Translating Trigonometric Functions Critique and Explain p.400 Try It! p.401 Practice and Problem Solving p.405 Topic Review p.408

### Chapter 8

Trigonometric Equations And Identities

 8-1 Solving Trigonometric Equations Using Inverses Critique and Explain p.415 Try It! p.415 Practice and Problem Solving p.420 8-2 Law of Sines and Law of Cosines Model and Discuss p.424 Try It! p.424 Practice and Problem Solving p.430 8-3 Trigonometric Identities Explore and Reason p.433 Try It! p.434 Practice and Problem Solving p.438 8-4 The Complex Plane Critique and Explain p.441 Try It! p.442 Practice and Problem Solving p.446 8-5 Polar Form of Complex Numbers Explore and Reason p.449 Try It! p.449 Practice and Problem Solving p.454 Topic Review p.457

### Chapter 9

Conic Sections

 9-1 Parabolas Explore and Reason p.463 Try It! p.464 Practice and Problem Solving p.469 9-2 Circles Critique and Explain p.472 Try It! p.473 Practice and Problem Solving p.476 9-3 Ellipses Model and Discuss p.480 Try It! p.481 Practice and Problem Solving p.486 9-4 Hyperbolas Explore and Reason p.489 Try It! p.490 Practice and Problem Solving p.495 Topic Review p.498

### Chapter 10

Matrices

 10-1 Operations with Matrices Model and Discuss p.503 Try It! p.504 Practice and Problem Solving p.508 10-2 Matrix Multiplication Explore and Reason p.511 Try It! p.512 Practice and Problem Solving p.515 10-3 Vectors Critique and Explain p.518 Try It! p.519 Practice and Problem Solving p.525 10-4 Inverses and Determinants Explore and Reason p.528 Try It! p.529 Practice and Problem Solving p.534 10-5 Inverse Matrices and Systems of Equations Critique and Explain p.537 Try It! p.537 Practice and Problem Solving p.541 Topic Review p.545

### Chapter 11

Data Analysis And Statistics

 11-1 Statistical Questions and Variables Explore and Reason p.551 Try It! p.552 Practice and Problem Solving p.555 11-2 Statistical Studies and Sampling Methods Critique and Explain p.558 Try It! p.559 Practice and Problem Solving p.562 11-3 Data Distributions Critique and Explain p.565 Try It! p.566 Practice and Problem Solving p.570 11-4 Normal Distributions Explore and Reason p.573 Try It! p.575 Practice and Problem Solving p.578 11-5 Margin of Error Model and Discuss p.581 Try It! p.582 Practice and Problem Solving p.586 11-6 Introduction to Hypothesis Testing Explore and Reason p.589 Try It! p.590 Practice and Problem Solving p.594 Topic Review p.598

### Chapter 12

Probability

 12-1 Probability Events Explore and Reason p.605 Try It! p.606 Practice and Problem Solving p.610 12-2 Conditional Probability Explore and Reason p.613 Try It! p.614 Practice and Problem Solving p.617 12-3 Permutations and Combinations Explore and Reason p.621 Try It! p.622 Practice and Problem Solving p.625 12-4 Probability Distributions Model and Discuss p.628 Try It! p.629 Practice and Problem Solving p.633 12-5 Expected Value Explore and Reason p.636 Try It! p.637 Practice and Problem Solving p.640 12-6 Probability and Decision Making Critique and Explain p.643 Try It! p.643 Practice and Problem Solving p.647 Topic Review p.650