1. Name:__________ warm-up 7-2 State the domain and range of y = –3(2) x State the domain and range of

2. The function P(t) = 12,995(0.88) t gives the value of a type of car after t years. Find the value of the car after 10 years. The number of bees in a hive is growing exponentially at a rate of 40% per day. The hive begins with 25 bees. Which function models the population of the hive after t days?

3. Details of the Day EQ: How do exponential functions model real world problems and their solutions? I will be able to… Activities: Warm-up Review wup Review homework Notes: 7-2 Class work/ HW Vocabulary:. Solve exponential equations. Solve exponential inequalities. exponential equation compound interest exponential inequality

4. 7-2 Solving Exponential Equations and Inequalities

5. A Quick Review State the domain and range of y = –3(2) x State the domain and range of

6. A Quick Review The function P(t) = 12,995(0.88) t gives the value of a type of car after t years. Find the value of the car after 10 years. The number of bees in a hive is growing exponentially at a rate of 40% per day. The hive begins with 25 bees. Which function models the population of the hive after t days?

7. Notes and examples Solve the equation 3 x = 9 4 Solve the equation 2 5x = 4 2x – 1

8. Notes and examples Solve the equation 4 x = 64 3 Solve the equation 3 2x = 9 5x – 4

9. Notes and examples. POPULATION In 2000, the population of Phoenix was 1,321,045. By 2007, it was estimated at 1,512,986. Write an exponential function that could be used to model the population of Phoenix. Write x in terms of the numbers of years since 2000. POPULATION In 2000, the population of Phoenix was 1,321,045. By 2007, it was estimated at 1,512,986. Predict the population of Phoenix in 2013.

10. Notes and examples POPULATION In 2000, the population of the town of Tisdale was 9,426. By 2007, it was estimated at 17,942. Write an exponential function that could be used to model the population of Tisdale. Write x in terms of the numbers of years since 2000. POPULATION In 2000, the population of the town of Tisdale was 9,426. By 2007, it was estimated at 17,942. Predict the population of Tisdale in 2012.

11. Notes and examples An investment account pays 5.4% annual interest compounded quarterly. If $4000 is placed in this account, find the balance after 8 years.

12. Notes and examples An investment account pays 4.6% annual interest compounded quarterly. If $6050 is placed in this account, find the balance after 6 years.

13. Notes and examples