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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.

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Presentation on theme: "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."— Presentation transcript:

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 Lesson Quizzes

2 Lesson Quiz: Part I 1. Use the formula to find the radius of a circle whose area is 28 in 2. Use 3.14 for. Round your answer to the nearest tenth of an inch. Find the domain of each square-root function. 3.0 in. x 0 x Square-Root Functions

3 Lesson Quiz: Part II 5. Graph each square-root function Square-Root Functions

4 Lesson Quiz: Part I Simplify each expression Simplify. All variables represent nonnegative numbers |x + 5| 11-2 Radical Expressions

5 Lesson Quiz: Part II 7. Two archaeologists leave from the same campsite. One travels 10 miles due north and the other travels 6 miles due west. How far apart are the archaeologists? Give the answer as a radical expression in simplest form. Then estimate the distance to the nearest tenth of a mile. mi; 11.7 mi 11-2 Radical Expressions

6 Lesson Quiz: Part I Add or subtract Simplify each expression Adding and Subtracting Radical Expressions

7 6. Find the perimeter of the trapezoid. Give the answer as a radical expression in simplest form. Lesson Quiz: Part II ft 11-3 Adding and Subtracting Radical Expressions

8 Lesson Quiz Multiply. Write each product in simplest form. All variables represent nonnegative numbers Simplify each quotient. All variables represent nonnegative numbers Multiplying and Dividing Radical Expressions

9 Lesson Quiz Solve each equation. Check your answer ø A triangle has an area of 48 square feet, its base is 6 feet, and its height is feet. What is the value of x? What is the height of the triangle? 253; 16 ft 11-5 Solving Radical Equations

10 Lesson Quiz: Part I Find the next three terms in each geometric sequence. 1. 3, 15, 75, 375,… The first term of a geometric sequence is 300 and the common ratio is 0.6. What is the 7th term of the sequence? 4. What is the 15th term of the sequence 4, –8, 16, –32, 64, …? 1875; 9375; 46,875 65, Geometric Sequences

11 Lesson Quiz: Part II 5. The table shows a cars value for three years after it is purchased. The values form a geometric sequence. How much will the car be worth after 8 years? $ YearValue ($) 118, , , Geometric Sequences

12 Lesson Quiz: Part I 1. {(0, 0), (1, –2), (2, –16), (3, –54)} Tell whether each set of ordered pairs satisfies an exponential function. Explain your answer. No; for a constant change in x, y is not multiplied by the same value. 2. {(0,–5), (1, –2.5), (2, –1.25), (3, –0.625)} Yes; for a constant change in x, y is multiplied by the same value Exponential Functions

13 Lesson Quiz: Part II 3. Graph y = –0.5(3) x Exponential Functions

14 Lesson Quiz: Part III 4. The function y = 11.6(1.009) x models residential energy consumption in quadrillion Btu where x is the number of years after What will residential energy consumption be in 2013? 12.7 quadrillion Btu 5. In 2000, the population of Texas was about 21 million, and it was growing by about 2% per year. At this growth rate, the function f(x) = 21(1.02) x gives the population, in millions, x years after Using this model, in about what year will the population reach 30 million? Exponential Functions

15 Lesson Quiz: Part I 1. The number of employees at a certain company is 1440 and is increasing at a rate of 1.5% per year. Write an exponential growth function to model this situation. Then find the number of employees in the company after 9 years. y = 1440(1.015) t ; 1646 Write a compound interest function to model each situation. Then find the balance after the given number of years. 2. $12,000 invested at a rate of 6% compounded quarterly; 15 years A = 12,000(1.015) 4t, $29, Exponential Growth and Decay

16 Lesson Quiz: Part II 3. $500 invested at a rate of 2.5% compounded annually; 10 years A = 500(1.025) t ; $ The deer population of a game preserve is decreasing by 2% per year. The original population was Write an exponential decay function to model the situation. Then find the population after 4 years. y = 1850(0.98) t ; Iodine-131 has a half-life of about 8 days. Find the amount left from a 30-gram sample of Iodine-131 after 40 days g 11-8 Exponential Growth and Decay

17 Lesson Quiz: Part I Which kind of model best describes each set of data? quadratic exponential 11-9 Linear, Quadratic, and Exponential Models

18 Lesson Quiz: Part II 3. Use the data in the table to describe how the amount of water is changing. Then write a function that models the data. Use your function to predict the amount of water in the pool after 3 hours. Increasing by 15 gal every 10 min; y = 1.5x + 312; 582 gal 11-9 Linear, Quadratic, and Exponential Models


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