1. Name:__________ warm-up 7-1
Solve 4a2 – 9 = 0
Solve 6y3 + 13y2 + 5y = 0
Find (f + g)(x) if f(x) = 3x + 7 and g(x) = x2 – 10.
Determine whether f(x) = 4x – 9 and g(x) = are inverse functions.

3. Details of the Day Activities: Graph exponential growth functions.
EQ:How do exponential functions model real world problems and their solutions?
I will be able to…
Activities:
Warm-up
Review homework
Notes:
Review for test
Class work/ HW
Vocabulary:
*exponential function
exponential growth
asymptote
growth factor
exponential decay
decay factor
Graph exponential growth functions. . .
Graph exponential decay functions.

4. 7-1 Exponential functions
Slope

5. A Quick Review Solve 4a2 – 9 = 0 Solve 6y3 + 13y2 + 5y = 0
Find (f + g)(x) if f(x) = 3x + 7 and g(x) = x2 – 10.
Determine whether f(x) = 4x – 9 and g(x) = are inverse functions.

6. A Quick Review

7. Notes and examples
Graph y = 4x. State the domain and range. x y

8. Notes and examples
graph of y = 3x x y x y

9. Notes and examples

10. Notes and examples
Graph the function y = 3x – 2. State the domain and range
Domain:
Range: x y

11. Notes and examples
Graph the function y = 2x – 1. State the domain and range.
Domain:
Range: x y

12. Notes and examples
Graph the function y = 2x – 4
Domain:
Range: x y

13. Notes and examples Graph the function y = 4x – 2 + 3 Domain: Range: x

14. Notes and examples
INTERNET In 2006, there were 1,020,000,000 people worldwide using the Internet. At that time, the number of users was growing by 19.5% annually. Draw a graph showing how the number of users would grow from 2006 to 2016 if that rate continued.
First, write an equation using a = (in billions), and r =
y = 1.020(1.195)t x y

15. Notes and examples
CELLULAR PHONES In 2006, there were about 2,000,000,000 people worldwide using cellular phones. At that time, the number of users was growing by 11% annually. Which graph shows how the number of users would grow from 2006 to 2014 if that rate continued? x y

16. Notes and examples
Graph the function x y

17. Notes and examples
Graph the function x y

18. Notes and examples
AIR PRESSURE The pressure of the atmosphere is 14.7 lb/in2 at Earth’s surface. It decreases by about 20% for each mile of altitude up to about 50 miles. Draw a graph to represent atmospheric pressure for altitude from 0 to 20 miles
y = a(1 – r)t
B. AIR PRESSURE The pressure of the atmosphere is 14.7 lb/in2 at Earth’s surface. It decreases by about 20% for each mile of altitude up to about 50 miles. Estimate the atmospheric pressure at an altitude of 10 miles. x y

19. Notes and examples
B. AIR PRESSURE The pressure of a car tire with a bent rim is 34.7 lb/in2 at the start of a road trip. It decreases by about 3% for each mile driven due to a leaky seal. Estimate the air pressure of the tire after 20 miles. x y

20. Notes and examples

21. Notes and examples