1. 2 - 1 © 2012 Pearson Education, Inc.. All rights reserved. Section 2.4 Exponential Functions Warm-up: Page 78 #62 How are Exponential & Logarithmic Functions Graphed and Applied?

2. 2 - 2 © 2012 Pearson Education, Inc.. All rights reserved. How are Exponential & Logarithmic Functions Graphed and Applied?

3. 2 - 3 © 2012 Pearson Education, Inc.. All rights reserved. Your Turn 1 Solve Solution: Since the bases must be the same, write 25 as 5 2 and 125 as 5 3. How are Exponential & Logarithmic Functions Graphed and Applied?

4. 2 - 4 © 2012 Pearson Education, Inc.. All rights reserved. Assessment Prompt #1 Page 86 #15, 17, 19 How are Functions Graphed and Applied?How are Exponential & Logarithmic Functions Graphed and Applied?

5. 2 - 5 © 2012 Pearson Education, Inc.. All rights reserved. How are Exponential & Logarithmic Functions Graphed and Applied?

6. 2 - 6 © 2012 Pearson Education, Inc.. All rights reserved. Assessment Prompt #2 Graph How are Functions Graphed and Applied?How are Exponential & Logarithmic Functions Graphed and Applied?

7. 2 - 7 © 2012 Pearson Education, Inc.. All rights reserved. How are Exponential & Logarithmic Functions Graphed and Applied?

8. 2 - 8 © 2012 Pearson Education, Inc.. All rights reserved. Examples Find the interest earned on $4400 at 3.25% interest compounded quarterly for 5 years. Solution: Use the formula for compound interest with P = 4400, r = 0.0325, m = 4, and t = 5. The investment plus the interest is $5172.97. The interest amounts to $5172.97 − $4400 = $772.97. How are Exponential & Logarithmic Functions Graphed and Applied?

9. 2 - 9 © 2012 Pearson Education, Inc.. All rights reserved. Example #2 Find the amount after 4 years if $800 is invested in an account earning 3.15% compounded continuously. Solution: In the formula for continuous compounding, let P = 800, t = 4 and r = 0.0315 to get or $907.43. How are Exponential & Logarithmic Functions Graphed and Applied?

10. 2 - 10 © 2012 Pearson Education, Inc.. All rights reserved. Graphs of Basic Functions How are Exponential & Logarithmic Functions Graphed and Applied?

11. 2 - 11 © 2012 Pearson Education, Inc.. All rights reserved. Assessment Prompt #3 How are Functions Graphed and Applied?  Group Check  Page 86-87 #37,43,47 How are Exponential & Logarithmic Functions Graphed and Applied?

12. 2 - 12 © 2012 Pearson Education, Inc.. All rights reserved. HOMEWORK pages 86-87 #14-32even,38,48 How are Functions Evaluated? How are Functions Graphed and Applied?How are Exponential & Logarithmic Functions Graphed and Applied?