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# Graphing functions

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### Graphing functions

1. 1. You should be able to: 1. Determine an algebraic expression for a situation. 2. Create a function table 3. Plot points on a coordinate plane
2. 2. Step 1: To graph a function, use a function table to determine your coordinate points. Input Output 1 2 3 4 2 4 6 8 (1, (2, (3, (4, 2) 4) 6) 8)
3. 3. Step 2: Plot the points on a coordinate plane. (1, 2) (2, 4) (3, 6) (4, 8) 10 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10
4. 4. Step 3: Connect the dots if appropriate. Begin at the origin. (1, 2) (2, 4) (3, 6) (4, 8) 10 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10
5. 5. Step 4: Write the function using the standard notation y = kx k is known as the constant of proportionality 10 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10 HUH?
6. 6. Constant of Proportionality- The constant value of the ratio of two proportional quantities. In other words, the output increases or decreases by the same multiple each time. Y = 2X 2 is the constant
7. 7. Step 5: Describe the characteristics of the graph 10 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10 Is it increasing? Decreasing? Staying the same?
8. 8. Step 6: Extend the graph to find other values of the function. 10 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10 What would be the value if x=11?
9. 9. The End
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