Evaluate each function to the nearest hundredth for x = -3 ...



Algebra 2 Ch.8 Test

Evaluate each function to the nearest hundredth for x = -2, -1, 0, 1, and 2.

Use a Table and Graph each function.

1. [pic] 2. [pic]

Write an exponential function of the form [pic] that includes the given points.

3. (1, 2), (2, 8) 4. (2, 122.5), (3, 857.5)

5. You put $2000 into an account earning 4% interest compounded continuously.

Find the amount at the end of the 8th yr.

Describe how the graph of each function is related to the graph of its parent function.

6. [pic] 7. [pic]

Use the Change of Base Formula to rewrite each expression using common logarithms (base 10).

8. [pic] 9. [pic]

Evaluate each logarithm.

10. log[pic] 11. log[pic] 12. log[pic] 13. log[pic]

Graph the logarithmic function.

Show the Inverse and Use a Table

14. [pic]

Inverse:___________

Write each equation in logarithmic form.

15. [pic] 16. [pic]

Write each logarithmic expression as a single logarithm.

17. [pic] 18. [pic]

Expand each logarithm.

19. [pic] 20. [pic]

Write each expression as a single natural logarithm.

21. [pic] 22. [pic]

Use the properties of logarithms to evaluate each expression.

23. [pic] 24. [pic]

Solve each equation. Round to the nearest hundredth.

25. [pic] 26. [pic]

27. [pic] 28. [pic]

Use the properties of logarithms to simplify each equation and solve it. Round to the nearest hundredth.

29. [pic] 30. [pic] 31. [pic]

32. A parent raises a child’s allowance by 15% each year. If the allowance is $3 now, when will it reach $21?

33. Hg-197 is used in Kidney scans. It has a half-life of 64 hr.

Write the exponential decay function for a 12-mg sample. Find the amount remaining after 96 hr.

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