# 1140 L10 - Lecture 10 part I Section 1.6 A Library of...

This preview shows pages 1–6. Sign up to view the full content.

Lecture 10, part I: Section 1.6 A Library of Functions 1. Linear Function f ( x ) = mx + b NOTE: There are two special types of linear functions: Constant Function ( f ( x ) = c ) and Identity Function ( f ( x ) = x ).

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
2. Square Function f ( x ) = x 2 3. Cube Function f ( x ) = x 3 4. Square Root Function f ( x ) = p x
5. Reciprocal Function f ( x ) = 1 x 6. Absolute Value Function f ( x ) = j x j A piecewise-de±ned function is de±ned by di²erent rules on di²erent parts of its domain. Graph a piecewise-de±ned function 1. Divide the domain of the function into parts. 2. Graph separately each branch of the correspond- ing parts of the domain. 3. On each branch of the graph, draw end points as a solid dot ± if the interval is closed on that side and as ² if it is open.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
ex. Sketch the graph of f ( x ) = 8 > < > : x 2 ; x < 1 1 ; 1 < x < 3 x; x ± 3
Lecture 10, part II: Section 1.7 Transformations of Functions Vertical and Horizontal Translations Given y = f ( x ) and c > 0: To Graph: Shift f ( x ) f ( x ) + c f ( x ) ± c f ( x + c ) f ( x ± c ) NOTE: Numbers inside parentheses change the argument ( x -values):

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 12

1140 L10 - Lecture 10 part I Section 1.6 A Library of...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online