'First function' diaporamas de présentation

Transformations of Functions and their Graphs

Transformations of Functions and their Graphs. Mary Dwyer Wolfe, Ph.D. July 2009. Linear Transformations . These are the common linear transformations used in high school algebra courses. Translations (shifts) Reflections Dilations (stretches or shrinks) We examine the mathematics:

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College Trigonometry

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Operations with Functions

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Warm Up!!!

Warm Up!!!. Solve the following problems: 1. 2. 3. . Section 5.1.2. Solving Systems. Learning Targets. Extraneous Solutions How to solve systems of equations How to solve systems of equations using technology. Non-Linear Example. Review the following problem and solution:

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SECTION 1.5

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Section 3.5 Find the derivative of g (x) = x 2 ln x. You will need to use the product rule.

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D/RS 1013

D/RS 1013. Discriminant Analysis. Discriminant Analysis Overview. multivariate extension of the one-way ANOVA looks at differences between 2 or more groups goal is to discriminate between groups considers several predictor variables simultaneously. Discriminant - Overview.

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Operations on Functions

Operations on Functions. The sum f + g. This just says that to find the sum of two functions, add them together. You should simplify by finding like terms. Combine like terms & put in descending order. The difference f - g.

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Rules for D ifferentiation

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Objectives for Section 11.3 Derivatives of Products and Quotients

Objectives for Section 11.3 Derivatives of Products and Quotients. The student will be able to calculate: the derivative of a product of two functions, and the derivative of a quotient of two functions. Derivatives of Products. Theorem 1 (Product Rule)

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An ide for teaching and learning prolog

An ide for teaching and learning prolog. Using Prolog Development Tools ( ProDT ). Installation. Need Eclipse (Works on Windows, Linux, and Mac OS) Download the plug-in from: http://prodevtools.sourceforge.net Follow the installation and configuration instructions from the website

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Adjectives and Adjective Phrases

Adjectives and Adjective Phrases. Jon Ray. Basics. Definition- Traditionally defined as words that describe nouns Adjective phrases formed by an adjective and modifiers of complements such as: adverbs and prepositional phrases Four functions: Adjective phrase head Noun phrase modifier

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Composition of functions

Composition of functions. constructing a function from 2 functions (g o f) = g[f(x)] for all x in domain of f such that f(x) is in domain of g f is applied first and g is second Read f by g (f o g)(x) = f [g(x)] that for all x in domain of g such that g(x) is in domain of f

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Section 1.4

Section 1.4. Combinations of Functions. Sum: combine like terms Difference: distribute the negative to the second function and combine like terms

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