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Objective - To write and evaluate simple functions.

Objective - To write and evaluate simple functions. Input. Function. Output. y = 5x. x. y. Input. Output. x. y. 2. 10. 2. 10. 3. 15. 3. 15. 4. 20. 4. 20. 5. 25. 6. 30. 7. y = 5x. 35. 7. 35. 8 x. y = 8 x. y = 8 20.

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Objective - To write and evaluate simple functions.

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  1. Objective - To write and evaluate simple functions. Input Function Output y = 5x x y Input Output x y 2 10 2 10 3 15 3 15 4 20 4 20 5 25 . . . 6 30 7 y = 5x 35 7 35

  2. 8 x y = 8 x y = 8 20 Logan assembles outdoor BBQs for $8 each. Write a rule that represents his pay, y, in terms of the number of BBQs he assembles, x. Domain = Input = x = the # of BBQs assembled. Range = Output = y = amount Logan is paid. Output Input y = If Logan assembles 20 BBQs last week, what would he get paid? y = 160 $160

  3. Todd is 3 years older than his brother, Mark. If Mark is x years old and Todd is y years old, write a rule that relates their ages over time. Domain = Input = x = Mark’s age. Range = Output = y = Todd’s age. Output Input y = x + 3 When Mark is 28 years old, how old will Todd be? y = x + 3 y = 28 + 3 Todd will be 31. y = 31

  4. Relation - Any set of ordered pairs Function - A type of relation where there is exactly one output for every input. For every x there is exactly one y. x y x y 1 6 1 6 2 7 2 7 3 7 3 Function

  5. Relation - Any set of ordered pairs Function - A type of relation where there is exactly one output for every input. For every x there is exactly one y. x y x y 1 6 1 6 1 7 2 7 2 7 Not a Function

  6. Function - A rule or equation where there is exactly one output for every input. For every x-value there is exactly one y-value. x -1 0 1 2 4 x -1 0 1 2 4 x 1 0 1 2 4 y -2 0 2 4 6 y 2 0 2 4 6 y -2 0 2 4 6 No x- value repeats No x- value repeats x-value repeats -2 2 -1 1 1 2 Yes, it is a function Yes, it is a function No, it is not a function

  7. Vertical Line Test - Functions y y y y x x x x y y y y x x x x

  8. Vertical Line Test - Functions y y y y x x x x Function y y y y x x x x

  9. Vertical Line Test - Functions y y y y x x x x Function Function y y y y x x x x

  10. Vertical Line Test - Functions y y y y x x x x Function Function Not a Function y y y y x x x x

  11. Vertical Line Test - Functions y y y y x x x x Function Function Function Not a Function y y y y x x x x

  12. Vertical Line Test - Functions y y y y x x x x Function Function Function Not a Function y y y y x x x x Not a Function Not a Function Not a Function Function

  13. Tell whether the relation below is a function. output input 1) 3) y 0 1 x 5 Function Not a Function 2 3 x y output input 2) 4) -3 -3 -3 -3 -1 0 1 2 3 -2 4 -1 Not a Function 5 Not a Function 0 6

  14. Write a function rule that relates x and y in the tables below. x -2 -1 0 1 2 3 1) y = 4x y -8 -4 0 4 8 12 x -2 -1 0 1 2 3 2) y = x + 5 y 3 4 5 6 7 8 x -2 -1 0 1 2 3 3) y x -2 -1 0 1 2 3 4) y = 3x + 2 y -4 -1 2 5 8 11

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