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In this video, we will look at solutions to 16 practice tests where we cover the topics of inverse functions, exponential functions, and logarithmic functions. We will cover the horizontal line test, one-to-one functions using an algebraic method, how to find the inverse of a function, how to determine if two functions are inverses, find the inverse of a domain-restricted function, graphing exponential functions, solving exponential equations (with like bases and with logarithms), solving word problems with compound interest, logarithmic functions (graphing and properties), how to solve logarithmic equations, and how to solve exponential and logarithmic inequalities.
Since the lesson for solving exponential and logarithmic inequalities was not in the main video, I included it here.
00:00:00 Horizontal Line Test
00:10:24 One-to-One Functions Algebraic Method
00:27:00 Finding the Inverse of a Function
00:48:26 Determine if Two Functions are Inverses
01:13:10 Finding the Inverse of a Domain-Restricted Function
01:59:42 Graphing Exponential Functions with Transformations
02:18:16 Solving Exponential Equations with Like Bases
02:45:43 Solving Word Problems with Compound Interest
03:08:43 Solving Word Problems with Continuous Compound Interest
03:25:06 Logarithmic Functions | Graphing | Finding the Domain
04:09:08 Properties of Logarithms
04:32:01 Finding the Inverse of an Exponential or Logarithmic Function
05:17:18 Change of Base Formula
05:26:39 Solving Exponential Equations with Logarithms
06:04:57 Solving Logarithmic Equations
06:42:32 Solving Exponential and Logarithmic Inequalities (Lesson)
07:35:30 Solving Exponential and Logarithmic Inequalities (Practice)
Practice Tests:
https://greenemath.com/College_Algebra/100/Horizontal-Line-TestPracticeTest.html
https://greenemath.com/College_Algebra/101/One-to-One-Functions-Algebraic-MethodPracticeTest.html
https://greenemath.com/College_Algebra/102/Inverse-of-a-FunctionPracticeTest.html
https://greenemath.com/College_Algebra/103/Determine-if-Two-Functions-are-InversesPracticeTest.html
https://greenemath.com/College_Algebra/104/Finding-the-Inverse-of-a-Domain-Restricted-FunctionPracticeTest.html
https://greenemath.com/College_Algebra/105/Graphing-Exponential-FunctionsPracticeTest.html
https://greenemath.com/College_Algebra/106/Solving-Exponential-Equations-Like-BasesPracticeTest.html
https://greenemath.com/College_Algebra/107/Compound-Interest-Word-ProblemsPracticeTest.html
https://greenemath.com/College_Algebra/108/Continuous-Compound-Interest-Word-ProblemsPracticeTest.html
https://greenemath.com/College_Algebra/109/Logarithmic%20FunctionsPracticeTest.html
https://greenemath.com/College_Algebra/110/Properties-of-LogarithmsPracticeTest.html
https://greenemath.com/College_Algebra/111/Inverse-of-Exponential-or-Logarithmic-FunctionPracticeTest.html
https://greenemath.com/College_Algebra/112/Change-of-Base-FormulaPracticeTest.html
https://greenemath.com/College_Algebra/113/Solving-Exponential-Equations-with-LogarithmsPracticeTest.html
https://greenemath.com/College_Algebra/114/Solving-Logarithmic-EquationsPracticeTest.html
https://greenemath.com/College_Algebra/165/Exponential-Logarithmic-InequalitiesPracticeTest.html
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