1007slides_Part1

1007slides_Part1 - Math 1007, Fall 2006 (These slides...

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

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon

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

View Full DocumentRight Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Math 1007, Fall 2006 (These slides replace neither the text book nor the lectures.) Part I: Introduction 1. Lines (2) 2. Equation of a Line (3) 3. Factoring (4) 4. Functions and Their Graphs (5-6) 5. Intervals (7) 6. Algebra of Functions (8) 7. Symmetry (9) 8. Increasing and Decreasing Functions (10) 9. Catalog of Essential Functions (11-14) 10. An important Value (15) 1 1. Lines (Appendix B) The slope of a line l is defined by the quotient m = y x = y 2- y 1 x 2- x 1 . Horizontal lines (y=b) have slope zero and vertical lines (x=a), have undefined slope (slope is said to be ). Two lines are parallel if and only if they have the same slope. Two non-vertical lines l 1 and l 2 are perpendicular if and only if ( m 1 )( m 2 ) =- 1, where m 1 is the slope of l 1 and m 2 is the slope of l 2 . 2 2. Equation of a Line (Appendix B) Slope-intercept form of a line : Given the slope m and the y-intercept b , so that the point (0 ,b ) is on the line, the equation of the line is y = mx + b. Point-slope form of a line : Given the slope m and a point ( x 1 ,y 1 ) on the line, the equation of the line is y- y 1 = m ( x- x 1 ) . 3 3. Factoring (Reference pages) Difference of two squares x 2- y 2 = ( x + y )( x- y ) Sum of two cubes x 3 + y 3 = ( x + y )( x 2- xy + y 2 ) Difference of two cubes x 3- y 3 = ( x- y )( x 2 + xy + y 2 ) Quadratic Formula: Solutions to ax 2 + bx + c = 0 ( a 6 = 0) are x =- b p b 2- 4 ac 2 a Common denominator for addition of fractions a b + c d = ad + bc bd 4 4. Functions and Their Graphs (1.1)4....
View Full Document

Page1 / 15

1007slides_Part1 - Math 1007, Fall 2006 (These slides...

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

View Full Document Right Arrow Icon
Ask a homework question - tutors are online