0350PracticeTest5

0350PracticeTest5 - z xy 2 2 log into sums and differences...

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Math 0350 Intermediate Algebra Practice Test 5 Chapter 12 Beginning and Intermediate Algebra , Miller and O’Neill In problems 1 – 6, ( 29 x f = x + 5 and ( 29 x x x g 2 3 2 + = . Find each function or value. Give the domain of all resulting functions. 1. ( 29 ( 29 x g f + 2. ( 29 ( 29 x f g - 3. ( 29 ( 29 x g f 4. ( 29 x g f 5. ( 29 ( 29 x g f 6. ( 29 ( 29 2 f g 7. Write the equation of the inverse for the one-to-one function ( 29 3 5 + = x x f . 8. Graph the function ( 29 1 3 - = x x f . Label at least three exact points. Express both the domain and the range in interval notation. 9. Graph the function ( 29 1 3 - = x x g . Label at least three exact points. Express both the domain and the range in interval notation. In problems 10 – 12, find the logarithms without the use of a calculator. 10. y = 625 log 5 11. log 0.001 = y 12. y = 1 log 7 13. Graph the function x y 2 log = . Label at least three exact points. Express both the domain and the range in interval notation. 14. Expand
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Unformatted text preview: z xy 2 2 log into sums and differences of logarithms. 15. Write the expression 2 ln x ln y + 3 ln z as a single logarithm. 16. Use the change-of-base formula to approximate 18 log 5 to three decimal places. 17. Find the domain and the range for the function ( 29 x e x f = . Express both in interval notation. 18. Find the total amount of money in the account ( 29 nt n r P t A + = 1 if an investor deposits $8,000 in a certificate of deposit for 10 years at 6% interest compounded quarterly. In problems 19 24, solve the equations. Round answers to three decimal places where needed. 19. 72 5 = x 20. 3 log 5 = x 21. 4 81 log = b 22. 3 1 2 log = b 23. ln x = 2 24. ln(2 x 3) = ln( x + 2)...
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