january 6, 2014 intro to functions

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Today: Welcome Back Warm-Up Introduction to Coordinate Plane Functions & Relations Class Work January 6, 2014

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  • 1. 1. Mental Math:What is 5 % of 80? 2. A ring has a SALE price of $540. This was 30% off. What is the ORIGINAL price? 3. A bike is on sale for $150.00. This is 25% off the regular price. What was the original price? 4. Write 3.4% as a fraction and as a decimal number. 5. Write one-tenth of ten percent as a fraction, decimal, and percent
  • 2. Vocabulary
  • 3. H e i g h t -2 y -1 (0,4) 1 (4,0) x Time
  • 4. The Cost of a Phone Call
  • 5. What is a Relation?
  • 6. Example 1:
  • 7. Functions: A Short Video
  • 8. Mappings
  • 9. Example of a Mapping Steps 1. -3 0 3 6 2. 1 2 3 4 Draw ovals List domain 3. List range 4. Draw lines to connect
  • 10. Create a mapping of the following relation and state whether or not it is a function. {(-4,-1) ; (-4, 0) ; (5, 1) ; (3, 9)} -4 5 3 -1 0 1 9
  • 11. Using the Vertical Line Test Use the vertical line test to check if the relation is a function only if the relation is already graphed. Hold a straightedge (pen, ruler, etc) vertical to your graph. 2. Drag the straightedge from left to right on the graph. 3. If the straightedge intersects the graph once in each spot , then it is a function. 4. If the straightedge intersects the graph more than once in any spot, it is not a function. 1. A function! .
  • 12. function Not a function Not a function function .
  • 13. Function Rules f(x)..g(x)..h(x)
  • 14. .
  • 15. y = -3x + 2 y = -3(-1) + 2 y=3+2 y=5
  • 16. 1a. Domain: {-4, -2, 3, 4} Range: {-2, 2, 1} 1b. Domain: {0, 1, 7} Range: {-6, 2, -4, 4} 2a. 2b. Function Not a Function 3a. 3b. -4 -2 3 4 -1 2 1 0 1 7 -6 2 -4 4 Not a Function
  • 17. .
  • 18. Practice Steps 1. Sub in each domain value in one @ a time. 2. Solve for y in each 3. List y values in braces.
  • 19. 1. y = 3x + 1 y = 3(-4) + 1 y = -12 + 1 y = -11 y = 3x + 1 y = 3(0) + 1 y=0+1 y=1 Ans. { -11, 1, 7} y = 3x + 1 y = 3(2) + 1 y=6+1 y=7 2. y = -2x + 3 y = -2(-5) + 3 y = 10 + 3 y = 13 y = -2x + 3 y = -2(-2) + 3 y = 4 +3 y=7 y = -2x + 3 y = -2(6) + 3 y = -12 +3 y = -9
  • 20. H e i g h t P e o p l e C o s t S p e e d H e i g h t S p e e d A. Cost of a laptop, past 10 years B. Drag racing before hitting tree C. World Population, last 700 years D. Person's height during lifetime E. 3-point shot F. Running up, then down a hill