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[DOC File]Inverse Functions
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A Comparison between Logarithmic Functions and Exponential Functions Looking at the two graphs of exponential functions above, we notice that both pass the horizontal line test. This means that an exponential function is a one-to-one function and thus has an inverse.
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[DOC File]To: ASU Graduate Admission Committee Mathematics …
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Logarithmic equations (30 min) 1. Basic strategy for logarithmic equations. 1. Use logarithmic properties to get Here are numbers. 2. By the definition (or exponentiation) we have . 3. Solve for . (Examples) (Some similar problems) 2. Sometimes it is easy to use for positive . functions . This is true because logarithmic functions are one-to ...
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[DOC File]Domain and Range
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By establishing the relationship between exponential and logarithmic functions, we can now solve basic logarithmic and exponential equations by rewriting. Example 3. Solve for x. By rewriting this expression as an exponential, , so x = 16. Example 4. Solve for x. By rewriting this expression as a logarithm, we get
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[DOCX File]Financial Applications of Inverse Functions (High School ...
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Using the principle of inverse functions, f(f-1(x)) = x and f-1(f(x)) = x, students will find the inverses of both exponential functions and logarithmic functions. They will revisit financial applications and apply their learning to solving investment problems symbolically, especially for . time (t)
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[DOC File]MHF 4U Unit 1 –Polynomial Functions– Outline
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5.1.4 Features of Logarithmic Functions (Answers) Function Feature FunctionType Logarithmic Logarithmic Exponential Exponential Domain Range x-intercept (1, 0) (1, 0) N/A N/A y-intercept N/A N/A (0, 1) (0, 1) Asymptotes The graphs of and are mirror images through the line. The graphs of and are mirror images through the line.
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[DOC File]Exponential and Logarithmic Derivatives Worksheet
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Title: Exponential and Logarithmic Derivatives Worksheet Created Date: 3/2/2007 3:25:00 PM Other titles: Exponential and Logarithmic Derivatives Worksheet
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[DOC File]Unit 6: Exponential and Logarithmic Functions
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4 Derivatives of Exponential Functions p. 59 5 Derivatives of Exponential Functions p. 60 6 QUIZ 7 Logarithmic Functions p. 61-62 8 Logarithmic Functions p. 63-64 9 Derivatives of Logarithmic Functions p. 65-66 10 Derivatives of Logarithmic Functions Worksheet (p.67-69) 11 Exponential Growth and Decay p. 70-71 12 Review 13
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[DOC File]Chapter 9 – Exponential Patterns and Graphs
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Graphing Exponential Functions. Name Period # Ex 1: The function is called an _____ function because the exponent is a _____.. Now, let’s look at how to graph the exponential function. x y (x, y) -3 -2
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[DOC File]Review Guide for Algebra 2 Honors Final
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Jan 12, 2011 · Logarithmic Form: Logby=x. Growth and Decay Model: A=a(1+-r)t where A is the final amount, a is the initial amount. R is the rate in decimal form. You use a + for growth and a – for decay. T is the number of years. Miscellaneous: Exponents: To the zero power: x0=1. Negative exponents: move to denominator and it becomes positive
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[DOCX File]Home / Homepage
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4. Use the relationship between the graphs of exponential and logarithmic functions to sketch the graphs of the functions g 1 x = log 1 2 x and g 2 = log 3 4 (x) on the same sheet of graph paper. Then, answer the following questions.
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Logarithmic functions examples and answers