Chapter 12
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Exponential and Logarithmic Functions
12.1 Algebra of Functions
12V1: Functions 4: Using Function notation and evaluating.
http://www.youtube.com/watch?v=j4t73jk2VzE
12V2: Functions 5: More involved problems working with function notation and evaluating.
http://www.youtube.com/watch?v=iyy4ggm86Ao
12V3: Functions 6 - Algebra of Functions notation and Composite Functions
http://www.youtube.com/watch?v=YvVjC974qqY
12V4: Functions 7 - Composite Functions: covers the algebra of functions and its notation and composite functions.
http://www.youtube.com/watch?v=X5Pv5n7bduw
12V5: Functions 8 - Composite Functions: covers the algebra of functions and its notation and composite functions.
http://www.youtube.com/watch?v=r7H71C07EPs
12.2 One-to-one and Inverse Functions
12V6: Functions 9 - One-to-one Functions
12V7: Functions 10 - Inverse Functions: Defines the inverse of a function, an inverse function, and shows how to find the inverse of 1-1 functions.
http://www.youtube.com/watch?v=r5YxTIGzNJ8
12V10: Exponential Functions 2: We graph exponential functions.
http://www.youtube.com/watch?v=CtskCNaTyr8
12V11: Exponential Functions 3: We solve exponential equations.
http://www.youtube.com/watch?v=wN0amZ3kPnU
12V12: Exponential Functions 4: We solve exponential equations.
http://www.youtube.com/watch?v=bMCmw4WY9Gs
12.4 Exponential Growth and Decay Functions
12V13: Exponential Growth and Decay Functions 1: http://youtu.be/KkZ8q0KDd1Q
I solve an exponential growth problem.
12V14: Exponential Growth and Decay Functions 2: http://youtu.be/DBLPvO0ft5U
I solve an exponential growth problem.
12V15: Exponential Growth and Decay Functions 3: http://youtu.be/pYIA4njEIZs
I solve an exponential decay problem.
12V16: Exponential Growth and Decay Functions 4 (Half-life): http://youtu.be/qU2qhx9Ovq8
I solve an exponential decay problem involving half-life.
12V8: Functions 11 - Shows how to find the inverse of 1-1 functions from equations and graphs.
http://www.youtube.com/watch?v=sMH60suZ8lk
12.3 Exponential Functions - Graphing and solving exponential funtions
12V9: Exponential Functions 1: Exponential functions are defined and graphed.
12.5 Logarithmic Functions
12V17: Logarithms 1: This is an introduction to Logarithms. Includes the definition, how to change and equation from log form to exponential form, and vice versa. We simplify a log expression.
http://www.youtube.com/watch?v=-xl04o8inEQ
12V18: Logarithms 2: We simplify log expressions, and solve logarithmic equations.
12V19: Logarithms 3: We graph logarithmic equations.
http://www.youtube.com/watch?v=4e8IUY68rKk
12V21: Logarithms 5: We derive and prove the product property of logarithms and write expressions involving logs as a singe log using the product property.
12.6 Properties of Logarithms
12V20: Logarithms 4: We introduce some basic properties of logarithms and simplify logarithmic equations using these properties.
12V22: Logarithms 6: Develops the Quotient property of logs, and provides examples and problems.
http://www.youtube.com/watch?v=W2D1D4GS0yk
12V23: Logarithms 7: Develops Power Property of Logs and works problems and examples using the power property.
http://www.youtube.com/watch?v=vYrdHWR6Q6o
12V24: Logarithms 8: Practice using the product, quotient, and power properties of logs.
http://www.youtube.com/watch?v=vbMsBTF5WfI
12V25: Logarithms 9: Practice using the product, quotient, and power properties of logs.
http://www.youtube.com/watch?v=iHAz2CO-IwM
12V26: Logarithms 10: Practice using the product, quotient, and power properties of logs.
http://www.youtube.com/watch?v=lqMH3gozV-4
12V27: Logarithms 10b: Practice using the product, quotient, and power properties of logs by writing a sum or difference as one logarithm.
http://www.youtube.com/watch?v=EYuM5DSddGA
12.7 Common Logarithms, Natural Logarithms, and Change of Base
12V28: Logarithms 11: Defines common log, log x, and natural log, ln x, and works through examples and problems using a calculator.
http://www.youtube.com/watch?v=RTNN4ryUdPU
12V29: Logarithms 12: Solve equations containing common logs and natural logs, ln.
http://www.youtube.com/watch?v=udD7sNCsaDE
12V30: Logarithms 13: Solve word problems using the compound interest formula and the formula where interest is compounded continuously. These are not using logs, they are using exponents.
http://www.youtube.com/watch?v=Ll1MYuUwC6Y
12V31: Logarithms 14: Develops and uses the change of base formula for logs.
http://www.youtube.com/watch?v=FyUxvUzZSFE
12.8 Exponential and Logarithmic Equations and Problem Solving
12V32: Logarithms 15: Uses change of base to solve equations with the variable in the exponent.
http://www.youtube.com/watch?v=7BJ2MlRMZ14
12V33: Logarithms 16: Solving Equations containing logarithms
http://www.youtube.com/watch?v=CQmic24dzaI
12V34: Logarithms 17: Solving Equations containing logarithms
http://www.youtube.com/watch?v=YdQqWfhfx7k
12V35: Logarithm Application 1 - Compound Interest
http://www.youtube.com/watch?v=pWc0_arPUWs
12V36: Logarithm Application 2 - Compound Interest