# Math Quiz

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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
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
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
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
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.
 Author: Anonymous ID: 125987 Card Set: Math Quiz Updated: 2012-01-05 02:27:54 Tags: Algebra Folders: Description: Logs and Exponential Functions Show Answers: