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Why John Napier
                                                  Rocks!
                                               (well, logs actually)




quot;Hello...yeah...yeah...a mathematition....A
MATHEMATITION....yeah...I'm dead yeah....
by flickr user Pauho
Complete each table of values ...




       Let's see 2^x
x
               ƒ(x) = 3
           x                  x
ƒ(x) = 5          ƒ(x) = 2
What happens when the base of an exponential function is negative?
                                        x
                            ƒ(x) = (-2)




                          ≠   ƒ(x) = -2 x
                      x
          ƒ(x) = (-2)
Sketch the
given function
AND it's inverse
on the graph.
Let's see 2^x

Then, sketch the graph of it's inverse ...
Sketch the
given function
AND it's inverse
on the graph.
Rewrite each table of values for the inverse of each function ...
The Anatomy Of A Power



       exponent
       3
       2    = 8power
base
   power
a
     b=c                 log b c = a
                         b is the base
     b is the base
     a is the exponent   a is the (exponent) logarithm

     c is the power      c is the (power) argument



A Logarithm is an Exponent
    you're going to forget that

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Pre-Cal 40S April 14, 2009

  • 1. Why John Napier Rocks! (well, logs actually) quot;Hello...yeah...yeah...a mathematition....A MATHEMATITION....yeah...I'm dead yeah.... by flickr user Pauho
  • 2. Complete each table of values ... Let's see 2^x
  • 3.
  • 4. x ƒ(x) = 3 x x ƒ(x) = 5 ƒ(x) = 2
  • 5. What happens when the base of an exponential function is negative? x ƒ(x) = (-2) ≠ ƒ(x) = -2 x x ƒ(x) = (-2)
  • 6. Sketch the given function AND it's inverse on the graph.
  • 7. Let's see 2^x Then, sketch the graph of it's inverse ...
  • 8. Sketch the given function AND it's inverse on the graph.
  • 9. Rewrite each table of values for the inverse of each function ...
  • 10. The Anatomy Of A Power exponent 3 2 = 8power base power
  • 11. a b=c log b c = a b is the base b is the base a is the exponent a is the (exponent) logarithm c is the power c is the (power) argument A Logarithm is an Exponent you're going to forget that