1. Warm-Up Algebra 2 Honors 3/2/18
For each table determine what type of function it is.
(ie. Exponential, linear, quadratic, etc) 1. 2. 3. x -2 -1 1 2
f(x) 3 5 8 12 x -2 -1 1 2
f(x) 16 24 36 54 81
10 minutes x -2 -1 1 2
f(x) 3 6 9 12 15

2. Lets Graph it
Make a table of values for f(x)=2x and then graph it Then make a table for g(x)=2-x+1 and graph it What transformation takes place? x -2 -1 1 2
f(x) x -2 -1 1 2
g(x)
4 minutes
34 total

3. Lets Graph it
Make a table of values for f(x)=2x and then graph it Then make a table for g(x)=2x-2 and graph it What transformation takes place? x -2 -1 1 2
f(x) x -2 -1 1 2
g(x)
4 minutes
38 total

4. Graph based on your parent function
Make a table of values for f(x)=3x and then graph it Then graph g(x)=3x-3-2 using just what you know about the transformation. x -2 -1 1 2
f(x)
extra

5. Graph based on your parent function
Make a table of values for f(x)=ex and then graph it Then graph g(x)=-ex+4 using just what you know about the transformation. x -2 -1 1 2
f(x)
extra

6. Curve fitting with exponential and logarithmic models

7. You can use the exponential regression feature on a graphing calculator to model exponential data. When will the bacteria in the table reach 3700 if it’s an exponential model? Step1: Go to STAT then EDIT enter the data into two lists enter the time and data into L1, and the number of bacteria in L2. Then QUIT
Time, t (min) 1 2 3 4 5
Bacteria, B(t)
120
205
369
640
1132
1972

8. This means that the number of bacteria B(t) at time t is modeled by:
Step 2: Use the exponential regression feature. *Make sure Diagnostics is on in your MODE menu* look for ExpReg in the STAT CALC menu. (0) - make sure Xlist is L1 and Ylist is L2 ExpReg y=a*bx a= b= r2= r=
This means that the number of bacteria B(t) at time t is modeled by:
B(t)=118.9(1.75)t

9. Step 3: Graph the data and the function model. Enter 118. 9(1
Step 3: Graph the data and the function model. Enter 118.9(1.75)t as Y1. Enter 3700 as Y2 Use the intersection feature to find x when y=3700 the number of bacteria will reach 3700 in about 6.14 minutes.

10. Try it yourself
Use exponential regression to find a function that models this data B(t)=_____________________ When will the number of bacteria reach 1800?
Time, t (min) 1 2 3 4 5
Bacteria, B(t)
250
360
485
686
964
1348

11. REVIEW – TEST TUESDAY

12. Lets Graph it
Make a table of values for f(x)=4x and then graph it Then make a table for g(x)=-4x and graph it What transformation takes place? x -2 -1 1 2
f(x) x -2 -1 1 2
g(x)
4 minutes
42 total

13. Lets Graph it
Make a table of values for f(x)=4x and then graph it Then make a table for g(x)=-4x and graph it What transformation takes place? x -2 -1 1 2
f(x) x -2 -1 1 2
g(x)
4 minutes
46 total

14. Lets Graph it
Make a table of values for f(x)=3x and then graph it Then make a table for g(x)=3x -2 and graph it What transformation takes place? x -2 -1 1 2
f(x) x -2 -1 1 2
g(x)
4 minutes
50 total

15. Lets Graph it
Make a table of values for f(x)=5x and then graph it Then make a table for g(x)=5-x and graph it What transformation takes place? x -2 -1 1 2
f(x) x -2 -1 1 2
g(x)
extra