Exponential and logarithmic forms

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Exponential and logarithmic forms
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DO NOW

• 11.
• 12.
• 17

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Exponential function

• y abx
• Pg. 462, pg. 463

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• Exponential growth value of x increases, as
  value of y increases
• Exponential decay value of x increases as value
  of y decreases (approaching zero)

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Pg. 464

• Model growth or decay with the following function
• A (t) a (1 r ) t
• Example pg. 465

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Practice

• Pg. 439 10, 12
• Pg 440 30

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Do now
If you invest 10,000 from the time you are born
until you go to college (18 years) at a 6
interest rate, how much money will you have if
the interest a) Compounds annually? b)
Compounds monthly? c) Compounds daily? d)
Compounds continuously?
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launch

• Where can we see exponential and logarithmic in
  life?
• Before we watch What factors affect the
  individuals in the video either before or after
  the incident?
• What type of equation is most likely going to
  generate a good algebraic model
• www.discoveryeducation.com

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Properties of exponential functions

• Pg. 442
• Parent function vs. transformation function
• To start, make a table of information for parent
  function, then translate parent function 4 units
  to right (problem 2 pg. 443)
• Got it 2 pg. 444 y 4 (x 2)
• the parent function would be translated 2 units
  to the left
• We do pg 447 21 and pg. 448 40
• You do 20 pg. 447 and pg. 448 39
• 33 writing portion pg. 448

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Using an exponential model

• page 445
• This page is our example.we will consider,
  another example, what 2 things can you think of
  to graph exponentially (pg. 448 22)

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Challenge!!
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Natural base exponential functions

• e x
• Continuously compounded interest pg. 447
• A (t) P x e rt
• 4 pg. 447 lesson check

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(No Transcript)
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7 3 logarithmic functions as inverses

• Pg. 451
• Common logarithm pg. 453
• Logarithmic scale pg. 453
• Logarithmic function pg. 454
• Inverse functions are reflections of each other
• Y log b x as the inverse of y b x
• How does the parent function relate with
  logarithmic translating? Pg. 455

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Families of logarithmic functions

• Pg. 455
• Translating y log b x
• We do pg. 456 41 and 43
• You do pg 456 40 and 42

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Fitting curves to data

• Pg. 459
• Using your graphing calculator pg. 459

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Quiz

• Pg. 461
• 2, 6, 8,
• 10, 14,
• 20, 22,
• 24
• 27 explain
• 29

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Wrap up

• How are exponents and logarithms related?

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friday

• Pg. 464 7- 4 properties of logarithms (change of
  base)
• 7 -5 exponential and logarithmic equations

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Pulling it all together

• Pg. 486
• Test Tuesday or Wednesday 10/9 or 10/10