1 / 14

Chapter 1: Linear Functions, Equations, and Inequalities

Chapter 1: Linear Functions, Equations, and Inequalities. 1.1 Real Numbers and the Rectangular Coordinate System 1.2 Introduction to Relations and Functions 1.3 Linear Functions 1.4 Equations of Lines and Linear Models 1.5 Linear Equations and Inequalities

katelyn-vaughan
Download Presentation

Chapter 1: Linear Functions, Equations, and Inequalities

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Chapter 1: Linear Functions, Equations, and Inequalities 1.1 Real Numbers and the Rectangular Coordinate System 1.2 Introduction to Relations and Functions 1.3 Linear Functions 1.4 Equations of Lines and Linear Models 1.5 Linear Equations and Inequalities 1.6 Applications of Linear Functions

  2. 1.1 Real Numbers and the Rectangular Coordinate System Sets of Real Numbers: • Natural Numbers: • Whole Numbers: • Integers: • Rational Numbers: • Irrational Numbers:

  3. 1.1 Example Indicate the set each number belongs to:

  4. 1.1 The Set of Real Numbers and the Number Line • Real Numbers: • Every real number corresponds to a point on the number line. -4 -3 -2 -1 0 1 2 3 4

  5. 1.1 The Rectangular Coordinate System • The number corresponding to a particular point on the number line is called the coordinate of the point. • This correspondence is called a coordinate system.

  6. P(a, b) 1.1 The Coordinate Plane • Cartesian Coordinate System • xy-plane (or coordinate plane) Quadrant I Quadrant II Origin Quadrant III Quadrant IV

  7. 1.1 The TI-83 Viewing Window • Limitations in portraying coordinate systems on the calculator screen 1. Resolution 2. Scaling Xmin=-60, Xmax=60, Xscl=1 Xmin=-60, Xmax=60, Xscl=10 Ymin=-40, Ymax=40, Yscl=1 Ymin=-40, Ymax=40,Yscl=10

  8. 1.1 Rounding Numbers Mode Setting Display

  9. 1.1 Roots • Calculators have the ability to express numbers like: • Other special keys:

  10. 1.1 The Distance Formula • Pythagorean Theorem: d Q(x1,y2)

  11. 1.1 Example Using the Distance Formula • Find the length of the line segment that joins the points P(8, 4) and Q(3, 2). Solution:

  12. 1.1 Midpoint Formula • The midpoint of the line segment with endpoints and is Example • Find the midpoint M of the segment with endpoints (8, 4) and (9,6). Solution:

  13. 1.1 Application: Estimating Tuition and Fees • In 1998, average tuition and fees at public universities and colleges were $3293, whereas they were $5132 in 2004. Use the midpoint formula to estimate tuition and fees in 2001. Compare it to the actual value of $4221. Notice that 2001 lies midway between 1998 and 2004. Therefore we can use the midpoint formula. The midpoint formula estimates tuition and fees at public colleges and universities to be $4212.50 in 2001. This is within $10 of the actual value.

More Related