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)