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Chapter 1: Linear Functions

Chapter 1: Linear Functions. V. J. Motto M110 Modeling with Elementary Functions 1.1 Review of Linear Functions 1.2 Introduction to TI-83+. Housekeeping. Essay Assignment Getting Help Come visit me! Mathematics Laboratory Dana 208 Office Hours MWF 1000 – 1100 Room Dana 220/208

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Chapter 1: Linear Functions

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  1. Chapter 1: Linear Functions V. J. Motto M110 Modeling with Elementary Functions 1.1 Review of Linear Functions 1.2 Introduction to TI-83+ V. J. Motto

  2. Housekeeping • Essay Assignment • Getting Help • Come visit me! • Mathematics Laboratory Dana 208 • Office Hours • MWF 1000 – 1100 Room Dana 220/208 • MWF 1330 – 1400 Room UT 306, Dana 220 or Dana 208 • By Appointment V. J. Motto

  3. Rectangular Coordinate System Note the x-axis and y-axis. The cross at the point (0, 0) or the Origin. There are 4 quadrants numbered counter clockwise with Roman Numerals. V. J. Motto

  4. Coordinates (x, y) To plot or graph the point that corresponding to the ordered pair (a, b) we start at the origin and move a units left or right. Then we move b units up or down. V. J. Motto

  5. Graphing y = - 300x + 2000 V. J. Motto

  6. Example: Graphing y = 3x - 5 • Lets use our TI-83+ to sketch the graph • y = button • Graph button • 2nd Graph Table V. J. Motto

  7. Linear Equations A linear equation in two variables is an equation that can be written in the form Ax + By = C Where A, B, and C are real numbers and A and B are not both 0. The graph of a linear equation in two variable is a straight line. V. J. Motto

  8. Comment Often, it is more convenient to solve the equation for y. Thus, the linear equation 3x + y = 4 would be manipulate to become y = - 3x + 4 which is easier to use when creating tables. You choose different x values and calculate the corresponding y values. V. J. Motto

  9. Example: Graphing – 5x + 3y = 15 V. J. Motto

  10. Forms of Linear Equations V. J. Motto

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