1. 11-1 Square-Root Functions 11-2 Radical Expressions 11-3 Adding and Subtracting Radical Expressions 11-4 Multiplying and Dividing Radical Expressions 11-5 Solving Radical Equations 11-6 Geometric Sequences 11-7 Exponential Functions 11-8 Exponential Growth and Decay 11-9 Linear, Quadratic, and Exponential ModelsPreview Warm Ups

2. Warm Up Find each square root. 1. 3. Solve each inequality. 5. x + 5 ≥ 0 7. 0 ≤ 3x Compare. Write, or =. 9. 7 10. 3 6 2. 4. 6. 0 ≤ 4x – 8 8. 10 – 3x ≥ 0 12–20undefined x ≥ –5x ≥ 2 x ≥ 0 <> 11-1 Square-Root Functions

3. Warm Up Identify the perfect square in each set. 1. 45 81 27 1112. 156 99 8 25 3. 256 84 12 10004. 35 216 196 72 Write each number as a product of prime numbers. 5. 36 6. 64 7. 1968. 24 81 196 25 256 11-2 Radical Expressions

4. Warm Up Simplify each expression. 1. 14x + 15y – 12y + x 2. 9xy + 2xy – 8xy 3. –3(a + b) + Simplify. All variables represent nonnegative numbers. 4.5. 6. 15x + 3y 3xy –3a – b + 10 11-3 Adding and Subtracting Radical Expressions

5. Warm Up Simplify each expression. 1. 2. 3. 4. 11-4 Multiplying and Dividing Radical Expressions

6. Warm Up Solve each equation. 1. 3x +5 = 17 2. 4x + 1 = 2x – 3 3. 4. (x + 7)(x – 4) = 0 5. x 2 – 11x + 30 = 0 6. x 2 = 2x + 15 4 –2–2 35 – 7, 4 6, 5 5, – 3 11-5 Solving Radical Equations

7. Warm Up Find the value of each expression. 1. 2 5 2. 2 –5 3. –3 4 4. (–3) 4 32 5. (0.2) 3 6. 7(–4) 2 –81 81 112 0.008 7.8. 12(–0.4) 3 –0.768 11-6 Geometric Sequences

8. Warm Up Simplify each expression. Round to the nearest whole number if necessary. 1. 3 2 2. 5 4 3. 2(3) 3 4. 9 5. –5(2) 5 6. 54 –32 –160 7. 100(0.5) 2 8. 3000(0.95) 8 625 25 1990 11-7 Exponential Functions

9. Warm Up Simplify each expression. 1. (4 + 0.05) 2 3. 4. The first term of a geometric sequence is 3 and the common ratio is 2. What is the 5th term of the sequence? 5. The function f(x) = 2(4) x models an insect population after x days. What is the population after 3 days? 26.5302 1.0075 2. 25(1 + 0.02) 3 16.4025 48 128 insects 11-8 Exponential Growth and Decay

10. Warm Up 1. Find the slope and y-intercept of the line that passes through (4, 20) and (20, 24). The population of a town is decreasing at a rate of 1.8% per year. In 1990, there were 4600 people. 2. Write an exponential decay function to model this situation. 3. Find the population in 2010. y = 4600(0.982) t 3199 11-9 Linear, Quadratic, and Exponential Models