'Horizontal asymptotes' diaporamas de présentation

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Fascinating Exponential Functions . Lethargic Log Functions. Egotistical Properties Of Logs. Outrageous Exponential & Log Equations. Amazing Exponential & Log Models. 1pt. 1 pt. 1 pt. 1pt. 1 pt. 2 pt. 2 pt. 2pt. 2pt. 2 pt. 3 pt. 3 pt. 3 pt. 3 pt. 3 pt. 4 pt.

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Rational Functions and Their Graphs Section 3.5

Rational Functions and Their Graphs Section 3.5. JMerrill,2005 Revised 08. Why Should You Learn This?. Rational functions are used to model and solve many problems in the business world. Some examples of real-world scenarios are: Average speed over a distance (traffic engineers)

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Chapter 9

Chapter 9. Rational Functions. Review: Direct Variation. 9-1 Inverse Variation. warm up. Joint Variation. 9-3 Rational Functions and their Graphs. 9-3 Rational Functions and their Graphs. 9-3 Rational Functions and their Graphs. 9-3 Rational Functions and their Graphs.

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Rational Functions and Models

Rational Functions and Models. 4.6. Identify a rational function and state its domain Identify asymptotes Interpret asymptotes Graph a rational function by using transformations Graph a rational function by hand (optional). Rational Function. A function f represented by

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Chapter 2

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1.5 Infinite Limits and 3.5 Limits at Infinity

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Warm Up Graph the function

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Limits and Continuity

Limits and Continuity. Chapter 2:. Aim #2.2 How do we solve limits as x approaches +/- infinity?. We use infinity when the values in its domain or range outgrow all finite bounds . Graph y = 1/x What happens as x approaches to + infinity? What happens as x approaches to - infinity?.

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Rational Functions

3.6: Rational Functions and Their Graphs. Rational Functions. Rational functions are quotients of polynomial functions. This means that rational functions can be expressed as

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Transformations of the Parent Functions

Transformations of the Parent Functions. What is a Parent Function. A parent function is the most basic version of an algebraic function. Types of Parent Functions. Linear f(x) = mx + b Quadratic f(x) = x 2 Square Root f(x) = ?x Exponential f(x) = b x Rational f(x) = 1/x

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ET 2.6: Find the domain.

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Graphs of Exponential Functions

Graphs of Exponential Functions. Lesson 3.3. How Does a*b t Work?. Given f(t) = a * b t What effect does the a have? What effect does the b have? Try graphing the following on the same axes 3 * 1.1 X 0.75 * 1.1 X 2 * 1.1 X 0.5 * 1.1 X 1.5 * 1.1 X.

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Lesson 23: Case 2 Rationals

Lesson 23: Case 2 Rationals. Mini-Theme: Food. What makes a function Case 2?. Degree of the Numerator < Degree of the Denominator End behavior approaches zero on both sides. . What fruit is this? . Starfruit !. Horizontal Asymptotes. If Numerator Degree > Denominator Degree

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Rational Functions

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Applied Calculus (MAT 121) Dr. Day Thursday Feb 23, 2012

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Review Questions Unit 7

Review Questions Unit 7. It takes 9 hours for John to paint a house. Jerry can paint the same house in 7 hours. How long will it take them to paint the house if they work together?

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Rational Functions: Horizontal Asymptotes

Rational Functions: Horizontal Asymptotes.

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For the function f whose graph is given, state the limit. {image} {applet}

1. 2. 3. 4. For the function f whose graph is given, state the limit. {image} {applet}. 2 3 {image} {image}. 1. 2. 3. Find the value of the limit {image} Choose the correct answer from the following:. 6 {image} 0. 1. 2. 3. 4.

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1.6 Limits involving infinity

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