'Function operations' presentation slideshows

Chapter 2

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COLLEGE ALGEBRA

COLLEGE ALGEBRA. LIAL HORNSBY SCHNEIDER. Function Operations and Composition. 2.8. Arithmetic Operations on Functions The Difference Quotient Composition of Functions and Domain. Operations of Functions.

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4 th EDITION

College Algebra & Trigonometry and Precalculus. 4 th EDITION. Function Operations and Composition. 2.8. Arithmetic Operations on Functions The Difference Quotient Composition of Functions and Domain. Operations of Functions.

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No I/O is built into C++

Keyboard. Screen. executing program. No I/O is built into C++. instead, a library provides input stream and output stream. istream. ostream. 1. Input Statements. SYNTAX These examples yield the same result. cin >> length ; cin >> width ; cin >> length >> width ;.

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9-4

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Algebra of Functions

Algebra of Functions. Review. Function notation: f(x) This DOES NOT MEAN MULITPLICATION. Given f(x) = 3x - 1, find f(2). Substitute 2 for x f(2) = 3(2) - 1 = 6 - 1 = 5. Review. Given f(x) = x - 5, find f(a+1) f(a + 1) = (a + 1) - 5 = a+1 - 5 f(a + 1) = a - 4. Objectives.

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Function Operations

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Function Operations

Function Operations . (and inverses!). Function Operations . Just like with numbers, we have operations we can do with functions. There are three main ones: Subtraction Addition Composition. Addition. This is typically represented as f(x) + g(x).

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Introduction

Introduction. Intro. Look down Main St. in any town and you will see small businesses. In larger cities you will note the large corporations with office complexes and manufacturing facilities. All are in business to produce goods or services in hopes of generating profit.

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Pre-Cal

Pre-Cal. Chapter 1 Functions and Graphs Section 1.3 and 1.4. The Twelve Basic Functions. Turn to pg. 102 in your book and sketch each of the twelve basic functions they have illustrated there and be sure to label your sketch with the appropriate equation. Section 1.4 Definitions.

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6.6 Function Operations

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4.2 Perform Function Operations and Composition

4.2 Perform Function Operations and Composition. 4.1-4.2 Quiz: Friday. Vocabulary. Power function A function of the form y = ax b where a is a real number and b is a rational number Composition The composition of a function g with a function f is h(x) = g(f(x)).

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7.3 Power Functions & Function Operations

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4.2 Compositions of Functions

4.2 Compositions of Functions. Function Operations (with numbers). Function Operations with Functions. Compositions of Functions.

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