chapter 4

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1. DEFINE:
one-to-one function
f(a) = f(b) only when a = b.
2. DEFINE:
Inverse Function
If the ordered pairs of a function g are the ordered pairs of a function f w/ the order of the coordinates reversed, then the g is the inverse function of f.
3. DEFINE:
Exponential Function
• The exponential function w base b is defined by
• f(x)= bx
• where b>0, b!=1, and x is a real number.
4. DEFINE:
Logarithmic Function
• If x>0 and b is a positive constant except for 1 (b!=1), then y=logbx iff by=x.
• ******
• 1. logbb = 1
• 2. logb1 = 0
• 3. logbb= x
• 4. blogb= x
5. LAWS OF LOG.s:
1. Product Property
logbM*N = logbM + logbN
6. LAWS OF LOG.s:
2. Quotient Property
logb(M/N) = logbM - logbN
7. LAWS OF LOG.s:
3. Power Property
the logbM= P*logbM
8. LAWS OF LOG.s:
4. Change of Base Property
• If x, a, and b are positive real numbers w/ a != 1 and b != 1, then
• logbx = logax
•             logbb
 Author: Anonymous ID: 259854 Card Set: chapter 4 Updated: 2014-02-02 22:48:41 Tags: math transcendental functions Folders: Ma105 Theories Description: Theses are the theories for chapter 4 that you'll need to know in class Monday...And you'll need to prove one of the log properties (your choice of which one). Show Answers: