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Notes – Lesson 8.2 Algebra 2 Name __________________________________ I. Examples for questions 1-8. A. Graph: y = 1 2 Graph: y = 2x Find the asymptote. 1 2 2x Find the asymptote. In the equation y = abx, “a” ___________________________________________________________________ Examples: Graph each function, label the asymptote of each graph. 1. y = 5(0.12)x 2. y = -0.1(5)x II. Examples for questions 9-14. A. Graph y = 8( 12 )x then graph y = 8( 12 )x+2 + 3 The graph has been shifted ________________ and _________________. The horizontal asymptote for the 2 nd graph is _______ Examples: Explain the translation. base graph: y = 9(3)x 1. y = 9(3)x+1 2. y = 9(3)x – 4 3. y = 9(3)x-3 – 1 III. Examples for questions 15-17. Half Life Equation : ____________________ Examples. 1. HG is used in kidney scans. It has a half-life of 64.128 h. Write the exponential decay function for a a12-mg sample. Find the amount remaining after 72 hours. 2. Sr-85 is used in bone scans. It has a half-life of 64.9 days. Write the exponential decay function for an 8-mg sample. Find the amount remaining after 100 days. IV. Examples for questions 18-23. Graph y = ex e = _________________ Examples: Use the graph of y = ex to evaluate each expression to four decimal places. 1. e2 2. e-2.5 3. e1/3 4. e 2 V. Examples for questions 24-26. Interest. Compounded Continuously. Formula: ________________________________ Examples: 1. principal: $5000 annual interest rate: 6.9% time: 30 years 2. principal: $20,000 annual interest rate: 3.75% time: 2 yr Assignment: Page 442: 1-7(odd), 9-14 (all – only explain the translation, you do no have to graph), 15-26(all)