Review for 4Q

1. Review for 4Q

2. Evaluate þ 8 4 16 2

3. 2) Find the inverse of f(x) = x2 + 3 þ a. b. c. d.

4. 3) State the transformation from the parent function þ a. Right 3, up 3 b. Left 3, up 3 c. Right 3, down 3 d. Left 3, down 3

5. 4) An initial population of 130 bear increases at an annual rate of 3%. Write an exponential function to model the bear population. þ F(x) = 130(3)x F(x) = 130(.03)x F(x) = 130(1.03)x F(x) = 130(.97)x

6. 5) Solve þ 52 4 46 49

7. 6) f(x) = x2 + 1, g(x) = x + 3 Find (f ○ g)(x) þ x2 + 10 x2 + x + 3 x2 + x + 4 x2 + 6x + 10

8. 7) Write in exponential form: log41024 = 5 þ 51024 = 4 54 = 1024 45 = 1024 41024 = 5

9. 8) Write in logarithmic form: 35 = 243 þ Log2433 = 5 Log3243 = 5 Log5243 = 3 Log35 = 243

10. 9) Solve 6 = log33 + log3x þ 729 512 243 169

11. 10) Solve 3e2x = 9 1.099 0.878 0.776 0.549 þ

12. 11) Solve þ 8 6 4 0

13. 12) Solve: 103x = 85 þ 0.34 0.64 0.85 8.5

14. 13) Solve: log (2x + 1) = 2 þ 99 49.5 50.5 100

15. 14) Simplify ln e8 þ e8 8 2980 None of these

16. 15) Solve ln x – ln 3 = 0 þ 1 0 3 undefined

17. 16) How long does it take for an amount of money to double if interest is compounded continuously at 4%. þ 18 years 18.2 years 17.3 years 19 years

18. 17) Simplify & State restrictions: i þ

19. 18) Add: c. þ