Chapter 7 Review (6) Graph the exponential function. Identify growth or decay, y-intercept, domain, range, asymptote equation, and t-chart. Identify the transformations, if any. 1. 2. y y x x 3. y = -(2) x-1 + 2 y x Use the formula A =Pe 4. rt to solve for final amount (A). (3 points each) Suppose you invest $1600 at an annual interest rate of 4.6% compounded continuously. How much will you have in the account after 4 years? 5. Suppose you invest $10500 at an annual interest rate of 7.3% compounded continuously. How much will you have in the account after 12 years? 6. Suppose you invest $2750 at an annual interest rate of 6% compounded annually. How much will you have in the account after 5 years? Write the equation in logarithmic form.(2 points each) 7. 8. 34 = 84 Write the equation in exponential form. (2 points each) 9. log5 125 3 10. l o gx 3 1 . 2 Evaluate the logarithm. SHOW YOUR WORK. (3 points each) 11. 12. Solve each equation. SHOW YOUR WORK. (3 points each) 13. 52 x 125 14. 4 7 a 16 5 a 6 15. lo g6 x 2 16. log b 64 3 17. log 3 (3x 6) 2 18. log 8 (9 x 5) log 8 (3x 49) Chapter 7 Quiz Answer Section SHORT ANSWER 1. ANS: y 20 16 12 8 4 –6 –4 –2 2 4 6 x –4 PTS: OBJ: STA: KEY: 2. ANS: 1 DIF: L2 REF: 7-1 Exploring Exponential Models 7-1.1 To model exponential growth and decay NAT: A.1.b| A.2.f| A.2.g A2.6.1| R.2| R.3 TOP: 7-1 Problem 1 Graphing an Exponential Function exponential function DOK: DOK 2 y 20 16 12 8 4 –6 –4 –2 2 4 6 x –4 PTS: OBJ: STA: KEY: 3. ANS: 1 DIF: L3 REF: 7-1 Exploring Exponential Models 7-1.1 To model exponential growth and decay NAT: A.1.b| A.2.f| A.2.g A2.6.1| R.2| R.3 TOP: 7-1 Problem 1 Graphing an Exponential Function exponential function DOK: DOK 2 y 6 4 2 –6 –4 –2 2 4 6 x –2 –4 –6 PTS: OBJ: NAT: KEY: 4. ANS: 1 DIF: L2 REF: 7-2 Properties of Exponential Functions 7-2.1 To explore the properties of functions of the form y = ab^x N.3.f| G.2.c| A.1.b| A.2.d| A.2.h STA: A2.6.1 TOP: 7-2 Problem 1 Graphing y = ab^x exponential function DOK: DOK 2 y 6 4 2 –6 –4 –2 2 4 6 x –2 –4 –6 PTS: OBJ: NAT: KEY: 5. ANS: 1 DIF: L3 REF: 7-2 Properties of Exponential Functions 7-2.1 To explore the properties of functions of the form y = ab^x N.3.f| G.2.c| A.1.b| A.2.d| A.2.h STA: A2.6.1 TOP: 7-2 Problem 1 Graphing y = ab^x exponential function DOK: DOK 2 y 6 4 2 –6 –4 –2 2 4 6 x –2 –4 –6 PTS: OBJ: NAT: KEY: 6. ANS: 1 DIF: L3 REF: 7-2 Properties of Exponential Functions 7-2.1 To explore the properties of functions of the form y = ab^x N.3.f| G.2.c| A.1.b| A.2.d| A.2.h STA: A2.6.1 TOP: 7-2 Problem 2 Translating y = ab^x exponential function DOK: DOK 2 y 12 8 4 –12 –8 –4 4 8 12 x –4 –8 –12 PTS: 1 DIF: L4 REF: 7-2 Properties of Exponential Functions OBJ: 7-2.1 To explore the properties of functions of the form y = ab^x NAT: N.3.f| G.2.c| A.1.b| A.2.d| A.2.h STA: A2.6.1 TOP: 7-2 Problem 2 Translating y = ab^x KEY: exponential function DOK: DOK 2 7. ANS: $1,923.23 PTS: OBJ: STA: KEY: 8. ANS: 1 DIF: L2 REF: 7-2 Properties of Exponential Functions 7-2.2 To graph exponential functions that have base e NAT: N.3.f| G.2.c| A.1.b| A.2.d| A.2.h A2.6.1 TOP: 7-2 Problem 5 Continuously Compounded Interest continuously compounded interest DOK: DOK 2 PTS: 1 DIF: L2 REF: 7-3 Logarithmic Functions as Inverses OBJ: 7-3.1 To write and evaluate logarithmic expressions NAT: G.2.c| A.2.h| A.3.h STA: A2.6.2 TOP: 7-3 Problem 1 Writing Exponential Equations in Logarithmic Form KEY: logarithm DOK: DOK 2 9. ANS: –4 PTS: OBJ: STA: KEY: 10. ANS: 5 1 DIF: L3 REF: 7-3 Logarithmic Functions as Inverses 7-3.1 To write and evaluate logarithmic expressions NAT: G.2.c| A.2.h| A.3.h A2.6.2 TOP: 7-3 Problem 2 Evaluating a Logarithm logarithm DOK: DOK 2 PTS: OBJ: STA: KEY: 11. ANS: 1 DIF: L2 REF: 7-3 Logarithmic Functions as Inverses 7-3.1 To write and evaluate logarithmic expressions NAT: G.2.c| A.2.h| A.3.h A2.6.2 TOP: 7-3 Problem 2 Evaluating a Logarithm logarithm DOK: DOK 2 y 5 4 3 2 1 –10 –8 –6 –4 –2 –1 –2 –3 –4 –5 PTS: OBJ: STA: KEY: 12. ANS: 2 4 6 8 10 x 1 DIF: L2 REF: 7-3 Logarithmic Functions as Inverses 7-3.2 To graph logarithmic functions NAT: G.2.c| A.2.h| A.3.h A2.6.2 TOP: 7-3 Problem 4 Graphing a Logarithmic Function logarithmic function DOK: DOK 2 y 12 8 4 –12 –8 –4 4 8 12 x –4 –8 –12 PTS: OBJ: STA: KEY: 13. ANS: 1 DIF: L4 REF: 7-3 Logarithmic Functions as Inverses 7-3.2 To graph logarithmic functions NAT: G.2.c| A.2.h| A.3.h A2.6.2 TOP: 7-3 Problem 5 Translating y = logb x logarithmic function DOK: DOK 2 y 5 4 3 2 1 –10 –8 –6 –4 –2 –1 –2 –3 –4 –5 2 4 6 8 10 x PTS: OBJ: STA: KEY: 14. ANS: 2.2 1 DIF: L2 REF: 7-3 Logarithmic Functions as Inverses 7-3.2 To graph logarithmic functions NAT: G.2.c| A.2.h| A.3.h A2.6.2 TOP: 7-3 Problem 4 Graphing a Logarithmic Function logarithmic function DOK: DOK 2 PTS: OBJ: STA: KEY: 1 DIF: L4 REF: 7-3 Logarithmic Functions as Inverses 7-3.1 To write and evaluate logarithmic expressions NAT: G.2.c| A.2.h| A.3.h A2.6.2 TOP: 7-3 Problem 3 Using a Logarithmic Scale logarithm | problem solving DOK: DOK 2