1. HONORS ALGEBRA 2 7.2 DAY 1: SOLVING EXPONENTIAL EQUATIONS & INEQUALITIES

2. In an exponential equation, variables occur as exponents. Use the Property of Equality to solve these equations.

3. EXAMPLE 1A EXAMPLE 1B – YOU TRY

4. EXAMPLE 2A EXAMPLE 2B – YOU TRY

5. An exponential inequality is an inequality involving exponential functions. Use the Property of Inequality to solve these inequalities.

6. EXAMPLE 3A EXAMPLE 3B

7. EXAMPLE 4A EXAMPLE 4B – YOU TRY

8. 7.2 DAY 2 SOLVING EXPONENTIAL EQUATIONS AND INEQUALITIES ALGEBRA 2

9. WRITING EXPONENTIAL FUNCTIONS GIVEN 2 POINTS Write the equation of the exponential function in the form y = ab x, given the following… 1.(0, 6.4) and (3, 100) 2. (0, 256) and (4, 81) 3. (1, 2) and (2, 4/3)

10. EXAMPLE 1 Part 1: 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. Part 2: Use the equation from Part 1 to predict the population of Phoenix in 2013.

11. EXAMPLE 2 – YOU TRY 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. Now predict the population of Tisdale in 2012.

12. FORMULA Number of Compounding periods Annually: n = 1 Semi-annually: n = 2 Quarterly: n = 4 Monthly: n = 12 Weekly: n = 52 Daily: n = 365

13. EXAMPLE 3 An investment account pays 5.4% annual interest compounded quarterly. If $4000 is placed in this account, find the balance after 8 years.

14. EXAMPLE 4 – YOU TRY An investment account pays 4.6% annual interest compounded monthly. If $6050 is placed in this account, find the balance after 6 years.