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# 5 1 Linear Functions

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### 5 1 Linear Functions

1. 1. Warm Up Give the coordinates. Use (x,y) format. B F A D C E
2. 2. <ul><li>Warm-Up Answers </li></ul><ul><li>A (-4, 6) </li></ul><ul><li>B (3, 4) </li></ul><ul><li>C (-1, -3) </li></ul><ul><li>D (6, 0) </li></ul><ul><li>E (2, -7) </li></ul><ul><li>F (0, 8) </li></ul>B F A D C E
3. 3. Linear Functions & Graphs Holt Algebra I Chapter 5 Lesson 1
4. 4. Vocabulary <ul><li>Function </li></ul><ul><li>Ordered pair </li></ul><ul><li>Domain </li></ul><ul><li>Range </li></ul><ul><li>Linear Equation </li></ul>
5. 5. Function <ul><li>Group of paired numbers </li></ul><ul><li>Each number of the first set is paired with only one number of the second. </li></ul><ul><li>Example: (1,3) (2, 4) (3,3) could not be since the first and third examples have a different first digit, but are paired with the same second digit. </li></ul>
6. 6. Function or not? Example One Example Two 6300 14000 3150 7000 2700 6000 1350 3000 900 2000 450 1000 300 600 350 500 400 400 350 300 300 200
7. 7. <ul><li>Ordered Pairs </li></ul><ul><li>(x,y) values </li></ul><ul><li>x-axis (horizontal axis) </li></ul><ul><li>y-axis (vertical axis) </li></ul><ul><li>Start from the origin (0,0) </li></ul>Left 6, down 3 7 right, up 3 3 right, 2 down Origin
8. 8. <ul><li>Ordered Pairs </li></ul><ul><li>On an Axis </li></ul><ul><li>Points on the x-axis have the non-zero number as the x value. </li></ul><ul><li>(-3,0) </li></ul><ul><li>Points on the y-axis have the non-zero number as the y value. </li></ul><ul><li>(0,4) </li></ul>0 right, up 4 Left 3, up 0
9. 9. Linear Equations <ul><li>Coordinates’ values that make the equation balance are graphed. </li></ul><ul><li>If the graphed points make a line, the equation is called a line ar equation. </li></ul>
10. 10. Find the missing y-value. Equation 2x +3y = 9 <ul><li>(3, ?) </li></ul><ul><li>Fill in the value that is known, then solve. </li></ul><ul><li>2(3) + 3y = 9 </li></ul><ul><li>6 +3y = 9 </li></ul><ul><li>-6 -6 </li></ul><ul><li>3y = 3 </li></ul><ul><li>y = 1 </li></ul><ul><li>(3,1) </li></ul><ul><li>( 0, ?) </li></ul><ul><li>Fill in the value that is </li></ul><ul><li>known, then solve. </li></ul><ul><li>2(0) +3y = 9 </li></ul><ul><li>0 + 3y = 9 </li></ul><ul><li>3y = 9 </li></ul><ul><li>y = 3 </li></ul><ul><li>(0,3) </li></ul>
11. 11. 2x +3y = 9 All the coordinates of these points work in the above equation. Is the equation a linear equation?
12. 12. Write an equation <ul><li>What is the domain? </li></ul><ul><li>What is the range? </li></ul><ul><li>What would the value of y be if x = 0? </li></ul><ul><li>Equation: 4x + 8 = y </li></ul><ul><li>y = 4x + 8 </li></ul>40 8 36 7 32 6 28 5 24 4 20 3 16 2 12 1 Rental Cost in dollars, y Time in hours, x
13. 13. -Assignment- <ul><li>Page 224 </li></ul><ul><li>#13 – 33 odds </li></ul>