ࡱ> ^`]o_ bjbjzXzX )2@\2@\ ((((|(\Psss~~~~~~~$Js%NsssS#!#!#!s ~#!s~#!#!Sy}`讪}}^;|P~,0\|$}}8ss#!sssss$sss\sssssssssssss> : 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. Graph each function. State the domain, range, and the equation of the asymptote.  1. y = 3x  Asymptote: ____________ Domain: ____________ Range: ____________ 2. y = -2(3)x - 2  Asymptote: ____________ Domain: ____________ Range: ____________ 3. y = log (x + 2) -3 Asymptote: ____________ Domain: ____________ Range: ____________ State the domain, range, and equation of the asymptote. 4. y = log(x-2) Asymptote: ____________ Domain: ____________ Range: ____________ 5. y =  EMBED Equation.3  Asymptote: ____________ Domain: ____________ Range: ____________ 6. y = log (x -7) +10 Asymptote: ____________ Domain: ____________ Range: ____________  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 EMBED Equation.3   8. f(x) = 2(.5)x  9. f(x) = 3(6)x  10.   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 EMBED Equation.3  = -1  12. log8512 = 3  13. log14196 = 2  14. log10511,025 = 2 Rewrite each equation in logarithmic form. (NO calculator) 15. 25 = 32  16. 10-1 = 0.1 17.  EMBED Equation.3 = 2 18.  EMBED Equation.3   Evaluate logarithms Evaluate each expression.19. log216 20. log525 21. log1111 22.  EMBED Equation.3  23. log33-2.27 24. log7343 25. log2929 26. log993  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 EMBED Equation.3  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? 28. Ray invested $10,000 in an account which yields 4.5% interest compounded quarterly. 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