Name ________________________________________ Date ___________________ Class __________________ LESSON 12-2 Practice C Exponential Functions 1. If a golf ball is dropped from a height of 25 feet, the function x § 2· f(x) 25 ¨ gives the height in feet of each bounce. © 3 ¹̧ What will be the height of the golf ball on the 6th bounce? Round to the nearest tenth of a foot. _____________________________ Tell whether each set of ordered pairs satisfies an exponential function. Explain your answer. ½° °§ 3 · § 1 · § 1 · 2. ®¨ 0, , ¨ 1, , ¨ 2, , ( 3, 0 ) ¾ _______________________________________________________ °̄© 4 ¹̧ © 2 ¹̧ © 4 ¹̧ ¿° _________________________________________________________________________________________ 3. {(0, 3), (1, 7.5), (2, 18.75), (3, 46.875)} __________________________________________________ _________________________________________________________________________________________ 4. {(3, 7.5), (6, 6), (9, 4.8), (12, 3.84)} ______________________________________________________ _________________________________________________________________________________________ Graph each exponential function. 5. y 3(2.5) x 6. y 0.5(3.5) x The Mendez family bought two used cars: one domestic and one foreign. The domestic car was purchased for $11,600. The foreign car was purchased for $9700. The functions in the table represent the value of each car x years from now due to depreciation. 8. How much is each car worth 2 years from now? 7. y § 1· 2 ¨ ¸ ©5¹ x Domestic f (x) 11,600 (0.88)x Car Foreign f (x) 9700 (0.93)x Car ___________________________ ___________________________ 9. In how many years will the foreign car be worth more than the domestic car? ______________ © Houghton Mifflin Harcourt Publishing Company 291 Holt McDougal Coordinate Algebra 8. 7. 8. domestic: $8983.04; foreign: $8389.53 9. 2014 9. 4 years 10. 2019 Review for Mastery Practice C 1. 2.2 feet 1. yes 2. no 2. no, as the x-values increase by 1, the y-values are not multiplied by a constant amount. 3. yes 4. 1.6 feet 3. yes, as the x-values increase by 1, the y-values are multiplied by 2.5. x 5. |1601 6. 2 4. yes, as the x-values increase by 3, the y-values are multiplied by 0.8. 1 0 5. y y y y 4(0.5)x y 4(0.5) 2 16 4(0.5) 1 8 4(0.5) 0 4 1 2 1 y 4(0.5) x y 2(5)x 6. 7. 1 0 1 2 y y y y y 1 0.4 2(5) 0 2 2(5) 1 10 2(5) 2 50 2(5) © Houghton Mifflin Harcourt Publishing Company A65 Holt McDougal Coordinate Algebra
© Copyright 2024 Paperzz