WHAT DO I NEED TO KNOW IN CHAPTER 8
Day 05 Algebra 2 Unit 6 Test Review Name __________________________
Exponential and Logarithmic Functions Date ________________ Block _____
Know how to graph exponential functions and logarithmic functions.
Be able to determine the domain, range, and the equations of the asymptotes of these functions.
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|Graph each function. State the domain, range, and the equation of the asymptote. |
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|1. y = 3x |2. y = -2(3)x - 2 |3. y = log (x + 2) -3 |
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|Asymptote: ____________ |Asymptote: ____________ |Asymptote: ____________ |
|Domain: ____________ |Domain: ____________ |Domain: ____________ |
|Range: ____________ |Range: ____________ |Range: ____________ |
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|State the domain, range, and equation of the asymptote. |
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|4. y = log(x-2) |5. y = [pic] |6. y = log (x -7) +10 |
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| |Asymptote: ____________ | |
|Asymptote: ____________ |Domain: ____________ |Asymptote: ____________ |
|Domain: ____________ |Range: ____________ |Domain: ____________ |
|Range: ____________ | |Range: ____________ |
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Know how to determine whether a function is a growth or decay function.
|State whether the function represents exponential growth or exponential decay. (NO calculator) |
|7. f(x) = 5[pic] | | | |
| |8. f(x) = 2(.5)x |9. f(x) = 3(6)x |10. [pic] |
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Know how to change an expression from exponential form to logarithmic form and vice versa.
|Rewrite each equation in exponential form. (NO calculator) |
|11. log5[pic] = -1 | | | |
| |12. log8512 = 3 |13. log14196 = 2 |14. log10511,025 = 2 |
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|Rewrite each equation in logarithmic form. (NO calculator) |
| | |17. [pic]= 2 |18. [pic] |
|15. 25 = 32 |16. 10-1 = 0.1 | | |
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Evaluate logarithms
|Evaluate each expression. |
|19. log216 |20. log525 |21. log1111 |22. [pic] |
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|23. log33-2.27 |24. log7343 |25. log2929 |26. log993 |
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Know how to solve a growth problem. y = a(1 + r)t Know what is meant by “growth factor”.
Know how to solve a decay problem. y = a(1 - r)t Know what is meant by “decay factor”.
Know how to calculate compounded interest: y = a[pic]
|Solve each problem. (May use a calculator) |
|27. A piece of machinery valued at $250,000 depreciates at a steady rate of 12% per year. |
|How much will the machinery be worth after 10 years? |
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|28. Ray invested $10,000 in an account which yields 4.5% interest compounded quarterly. Assuming no |
|deposits or withdrawals are made, what will the balance of the account be after 5 years? |
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29. Write the equation for the piecewise function, and
state its domain and range.
30. Graph f(x) = -3[x + 2] – 5, and state its domain and range.
31-33. Evaluate f(x) above for the following values.
31. f(4.3)
32. f(2.7)
33. f(-3.6)
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