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Sept. 7 - Function Families Day 3 - Domain & Range

Algebra 1 Lesson

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Sept. 7 - Function Families Day 3 - Domain & Range

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  1. Function Families Day 3

  2. neither snow nor rain day! 9.07.22 Pick up a warm-up from the back. Complete. Warm-Up Domain & Range Exploration Delta Math Time Would you rather be able to read minds or move things with your mind? List your daily classroom supplies here.

  3. Warm-up: Function Notation Name: Date: Period: Evaluate each. SHOW WORK: Evaluate each. SHOW WORK: Evaluate each using the graph: f(x) = -6x + 1 f(2) = f(0) = f(-3) = f(10) = f(x) = 3x - 15 What is x if f(x) is -9? f(x) = 12 - 7x What is x if f(x) is 26? f(4) = f(-2) = f(3) = f( ) = -1 f( ) = 4

  4. Warm-up: Function Notation Name: Date: Period: Evaluate each. SHOW WORK: Evaluate each. SHOW WORK: Evaluate each using the graph: f(x) = -6x + 1 f(2) = f(0) = f(-3) = f(10) = f(x) = 3x - 15 What is x if f(x) is -9? f(x) = 12 - 7x What is x if f(x) is 26? f(4) = f(-2) = f(3) = f( ) = -1 f( ) = 4

  5. Warm-up: Function Notation Name: Date: Period: Evaluate each. SHOW WORK: Evaluate each. SHOW WORK: Evaluate each using the graph: f(x) = -6x + 1 f(2) = -11 f(0) = f(-3) = f(10) = f(x) = 3x - 15 What is x if f(x) is -9? f(x) = 12 - 7x What is x if f(x) is 26? f(4) = f(-2) = f(3) = f( ) = -1 f( ) = 4

  6. Warm-up: Function Notation Name: Date: Period: Evaluate each. SHOW WORK: Evaluate each. SHOW WORK: Evaluate each using the graph: f(x) = -6x + 1 f(2) = -11 f(0) = 1 f(-3) = f(10) = f(x) = 3x - 15 What is x if f(x) is -9? f(x) = 12 - 7x What is x if f(x) is 26? f(4) = f(-2) = f(3) = f( ) = -1 f( ) = 4

  7. Warm-up: Function Notation Name: Date: Period: Evaluate each. SHOW WORK: Evaluate each. SHOW WORK: Evaluate each using the graph: f(x) = -6x + 1 f(2) = -11 f(0) = 1 f(-3) = 19 f(10) = f(x) = 3x - 15 What is x if f(x) is -9? f(x) = 12 - 7x What is x if f(x) is 26? f(4) = f(-2) = f(3) = f( ) = -1 f( ) = 4

  8. Warm-up: Function Notation Name: Date: Period: Evaluate each. SHOW WORK: Evaluate each. SHOW WORK: Evaluate each using the graph: f(x) = -6x + 1 f(2) = -11 f(0) = 1 f(-3) = 19 f(10) = -59 f(x) = 3x - 15 What is x if f(x) is -9? f(x) = 12 - 7x What is x if f(x) is 26? f(4) = f(-2) = f(3) = f( ) = -1 f( ) = 4

  9. Warm-up: Function Notation Name: Date: Period: Evaluate each. SHOW WORK: Evaluate each. SHOW WORK: Evaluate each using the graph: f(x) = -6x + 1 f(2) = -11 f(0) = 1 f(-3) = 19 f(10) = -59 f(x) = 3x - 15 What is x if f(x) is -9? x = 2 f(x) = 12 - 7x What is x if f(x) is 26? f(4) = f(-2) = f(3) = f( ) = -1 f( ) = 4

  10. Warm-up: Function Notation Name: Date: Period: Evaluate each. SHOW WORK: Evaluate each. SHOW WORK: Evaluate each using the graph: f(x) = -6x + 1 f(2) = -11 f(0) = 1 f(-3) = 19 f(10) = -59 f(x) = 3x - 15 What is x if f(x) is -9? x = 2 f(x) = 12 - 7x What is x if f(x) is 26? x = -2 f(4) = f(-2) = f(3) = f( ) = -1 f( ) = 4

  11. Warm-up: Function Notation Name: Date: Period: Evaluate each. SHOW WORK: Evaluate each. SHOW WORK: Evaluate each using the graph: f(x) = -6x + 1 f(2) = -11 f(0) = 1 f(-3) = 19 f(10) = -59 f(x) = 3x - 15 What is x if f(x) is -9? x = 2 f(x) = 12 - 7x What is x if f(x) is 26? x = -2 f(4) = -1 f(-2) = f(3) = f( ) = -1 f( ) = 4

  12. Warm-up: Function Notation Name: Date: Period: Evaluate each. SHOW WORK: Evaluate each. SHOW WORK: Evaluate each using the graph: f(x) = -6x + 1 f(2) = -11 f(0) = 1 f(-3) = 19 f(10) = -59 f(x) = 3x - 15 What is x if f(x) is -9? x = 2 f(x) = 12 - 7x What is x if f(x) is 26? x = -2 f(4) = -1 f(-2) = 0 f(3) = f( ) = -1 f( ) = 4

  13. Warm-up: Function Notation Name: Date: Period: Evaluate each. SHOW WORK: Evaluate each. SHOW WORK: Evaluate each using the graph: f(x) = -6x + 1 f(2) = -11 f(0) = 1 f(-3) = 19 f(10) = -59 f(x) = 3x - 15 What is x if f(x) is -9? x = 2 f(x) = 12 - 7x What is x if f(x) is 26? x = -2 f(4) = -1 f(-2) = 0 f(3) = 0 f( ) = -1 f( ) = 4

  14. Warm-up: Function Notation Name: Date: Period: Evaluate each. SHOW WORK: Evaluate each. SHOW WORK: Evaluate each using the graph: f(x) = -6x + 1 f(2) = -11 f(0) = 1 f(-3) = 19 f(10) = -59 f(x) = 3x - 15 What is x if f(x) is -9? x = 2 f(x) = 12 - 7x What is x if f(x) is 26? x = -2 f(4) = -1 f(-2) = 0 f(3) = 0 f( 4 ) = -1 f( ) = 4

  15. Warm-up: Function Notation Name: Date: Period: Evaluate each. SHOW WORK: Evaluate each. SHOW WORK: Evaluate each using the graph: f(x) = -6x + 1 f(2) = -11 f(0) = 1 f(-3) = 19 f(10) = -59 f(x) = 3x - 15 What is x if f(x) is -9? x = 2 f(x) = 12 - 7x What is x if f(x) is 26? x = -2 f(4) = -1 f(-2) = 0 f(3) = 0 f( 4 ) = -1 f( 0 ) = 4

  16. Domain & Range Turn & Talk

  17. Directions Using the colored squares, box in the graph using the endpoints or maximum/minimum to determine the domain and range. **Remember: • Open circles are represented by () or < or > • Closed circles are represented by [] or ⦤ or ⦥ • Arrows represent either -∞ or +∞ • Domain is read from left to right • Range is read from bottom to top

  18. RANGE DOMAIN DOMAIN RANGE

  19. RANGE DOMAIN DOMAIN Domain: Interval Notation: (0,5] Set Notation: {x| 0<x<5 } Range: Interval Notation: [-1,4) Set Notation: {y| -1<y<4 } RANGE

  20. DOMAIN DOMAIN RANGE RANGE

  21. DOMAIN DOMAIN Domain: Interval Notation: [-2,2] Set Notation: {x| -2<x<2 } Range: Interval Notation: [-5,-1] Set Notation: {y| -5<y<-1 } RANGE RANGE

  22. RANGE DOMAIN DOMAIN RANGE

  23. RANGE DOMAIN DOMAIN RANGE

  24. RANGE DOMAIN DOMAIN RANGE

  25. RANGE DOMAIN DOMAIN RANGE

  26. RANGE DOMAIN DOMAIN RANGE

  27. RANGE DOMAIN DOMAIN RANGE

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