# Chapter 6: PROPERTIES AND ATTRIBUTES OF FUNCTIONS

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Chapter 6: PROPERTIES AND ATTRIBUTES OF FUNCTIONS

## 1. Multiple Representation of Functions

### 1.1. Table

1.1.1. Table of Values x Process y -2 3(-2) + 3 -3 -1 3(-1) + 3 0 0 3(0) + 3 3 1 3(1) + 3 6 2 3(2) + 3 9 Mapping Diagram -2 -3 -1 0 0 3 1 6 2 9 Set of Ordered Pairs (-2, 3), (-1, 0), (0, 3), (1, 6), (2, 9)

1.2.1. 2x^2-5x-6

1.3.1. Example

### 1.4. Verbal Description

1.4.1. uses nonvisual language to convey the visual world. It can navigate a visitor through a museum, orient a listener to a work of art, or provide access to the visual aspects of a performance.

2.2.2. Example

2.3.2. Example

## 4. Operations with Functions

### 4.1. Operations on functions are similar to operations on numbers. Each operation has a formal definition which produces a new function

4.1.1. Let f(x) = x + 3 and g(x) = x - 2 1) The sum = (f + g)(x) = f(x) + g(x) = x + 3 + x - 2 = 2x + 1 2) The difference = (f - g)(x) = f(x) - g(x) = (x + 3) - (x - 2) = 5 3) The product = (f . g)(x) = f(x) . g(x) = (x + 3)(x - 2) = x2 + x - 6 4) The quotient = (f/g)(x) = f(x)/g(x) = (x + 3)/(x - 2), x does not = 2