Math Quiz

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Author:
Anonymous
ID:
125987
Filename:
Math Quiz
Updated:
2012-01-04 21:27:54
Tags:
Algebra
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Description:
Logs and Exponential Functions
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  1. Product
    logb + logb = logb(m*n)
  2. Example of Product- log2^4 + log2^8
    • 1. 2^x = 4
    • x=2
    • 2. 2^x = 8
    • x=3
    • 2 + 3 = 5
    • ANSWER: log2^32 = 5
  3. Quotient
    logb^m - logb^n + logb(m/n)
  4. Example of Quotient- log2^8 - log2^4
    • 1. 2^x = 8
    • x = 3
    • 2. 2^x = 4
    • x = 2
    • 3 - 2 = 1
    • 3. 8/4 = 2
    • ANSWER: log2^2 = 1
  5. Power
    logb^m^^p = P(logb^m)
  6. Example of Power
    • log3^729^^3 = 3(log3^729)
    • 1. 3^x = 729
    • x = 6
    • 2. 6 * 3 = 18
    • ANSWER: x = 18
  7. Change of Base Formula
    • logb^m = loga^m/loga^b
    • a = new base
  8. Example of Change of Base Formula
    • log3^23
    • 1. 3^x = 23
    • 2. log^23/log^3 ~ 2.85
    • x ~ 2.85
    • ANSWER: 3^2.85 ~ 22.89
  9. Exponential Function
    Give meanings of letters
    • f(x) = b^x
    • b-base, constant
    • x-exponent, independent variable
    • b>0, b doesn't equal 1
  10. When you are given an exponential fuction with no (x) what do you do?
    You fill (x) in with random numbers.
  11. If you aren't given an (x) in an exponential function how do you write the domain?
    You write "all real numbers."
  12. What does domain stand for and what does range stand for?
    • Domain- x value
    • Range- y value
  13. What happens to the domain and range in an inverse?
    They switch places.
  14. Exponential growth
    • f(x) = ab^x
    • a>0 and b>0
    • The function increases as x increases.
  15. Exponential Decay
    • When 0<b<1
    • The function decreases as x increases.
  16. Does this show exponential growth or decay? f(x) = 1.5^x
    Exponential Growth
  17. Does this show exponential growth or decay? f(x) = (.8^x)
    Exponential growth because the base, .8 is less than 1.

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