1. 1.1 - Functions

2. Ex. 1 Describe the sets of numbers using set- builder notation. a. {8,9,10,11,…}

3. Ex. 1 Describe the sets of numbers using set- builder notation. a. {8,9,10,11,…} {x|x > 8, x E W}

4. Ex. 1 Describe the sets of numbers using set- builder notation. a. {8,9,10,11,…} {x|x > 8, x E W} b. x < 7

5. Ex. 1 Describe the sets of numbers using set- builder notation. a. {8,9,10,11,…} {x|x > 8, x E W} b. x < 7 {x|x < 7, x E R}

6. Ex. 1 Describe the sets of numbers using set- builder notation. a. {8,9,10,11,…} {x|x > 8, x E W} b. x < 7 {x|x < 7, x E R} c. All multiples of three

7. Ex. 1 Describe the sets of numbers using set- builder notation. a. {8,9,10,11,…} {x|x > 8, x E W} b. x < 7 {x|x < 7, x E R} c. All multiples of three {x|x = 3n, n E R}

8. Ex. 2 Write each set of numbers using interval notation. a. -8 < x < 16

9. Ex. 2 Write each set of numbers using interval notation. a. -8 < x < 16 (-8,16]

10. Ex. 2 Write each set of numbers using interval notation. a. -8 < x < 16 (-8,16] b. x < 11

11. Ex. 2 Write each set of numbers using interval notation. a. -8 < x < 16 (-8,16] b. x < 11 (-∞, 11)

12. Ex. 2 Write each set of numbers using interval notation. a. -8 < x < 16 (-8,16] b. x < 11 (-∞, 11) c. x 5

13. Ex. 2 Write each set of numbers using interval notation. a. -8 < x < 16 (-8,16] b. x < 11 (-∞, 11) c. x 5 (-∞, 16] U (5, ∞)

14. Ex. 3 Determine whether each relation represents y as a function of x. a. He input value x is a student’s ID number and the output value y is that student’s score on a physics exam.

15. Ex. 3 Determine whether each relation represents y as a function of x. a. He input value x is a student’s ID number and the output value y is that student’s score on a physics exam. YES

16. Ex. 3 Determine whether each relation represents y as a function of x. a. He input value x is a student’s ID number and the output value y is that student’s score on a physics exam. YES b. Tables

17. c. Graphs d. y 2 – 2x = 5y – 2x 2 = 5

18. Ex. 4 Given f(x) = 3x – 5 and g(x) = x 2 + 2, find: (a) f(-3)

19. Ex. 4 Given f(x) = 3x – 5 and g(x) = x 2 + 2, find: (a) f(-3) f(x) = 3x – 5

20. Ex. 4 Given f(x) = 3x – 5 and g(x) = x 2 + 2, find: (a) f(-3) f(x) = 3x – 5 f(-3) = 3(-3) – 5

21. Ex. 4 Given f(x) = 3x – 5 and g(x) = x 2 + 2, find: (a) f(-3) f(x) = 3x – 5 f(-3) = 3(-3) – 5 = -9 – 5 = -14

22. Ex. 4 Given f(x) = 3x – 5 and g(x) = x 2 + 2, find: (a) f(-3) f(x) = 3x – 5 f(-3) = 3(-3) – 5 = -9 – 5 = -14 (b) g(2z)

23. Ex. 4 Given f(x) = 3x – 5 and g(x) = x 2 + 2, find: (a) f(-3) f(x) = 3x – 5 f(-3) = 3(-3) – 5 = -9 – 5 = -14 (b) g(2z) g(x) = x 2 + 2

24. Ex. 4 Given f(x) = 3x – 5 and g(x) = x 2 + 2, find: (a) f(-3) f(x) = 3x – 5 f(-3) = 3(-3) – 5 = -9 – 5 = -14 (b) g(2z) g(x) = x 2 + 2 g(2z) = (2z) 2 + 2

25. Ex. 4 Given f(x) = 3x – 5 and g(x) = x 2 + 2, find: (a) f(-3) f(x) = 3x – 5 f(-3) = 3(-3) – 5 = -9 – 5 = -14 (b) g(2z) g(x) = x 2 + 2 g(2z) = (2z) 2 + 2 = (2) 2 (z) 2 + 2

26. Ex. 4 Given f(x) = 3x – 5 and g(x) = x 2 + 2, find: (a) f(-3) f(x) = 3x – 5 f(-3) = 3(-3) – 5 = -9 – 5 = -14 (b) g(2z) g(x) = x 2 + 2 g(2z) = (2z) 2 + 2 = (2) 2 (z) 2 + 2 = 4z 2 + 2

27. Ex. 5 Identify the domain & range of each function. a. y = √ x + 4

28. Ex. 5 Identify the domain & range of each function. a. y = √ x + 4 x + 4 > 0

29. Ex. 5 Identify the domain & range of each function. a. y = √ x + 4 x + 4 > 0 x > -4

30. Ex. 5 Identify the domain & range of each function. a. y = √ x + 4 x + 4 > 0 x > -4 Domain: { x | x > -4}

31. Ex. 5 Identify the domain & range of each function. a. y = √ x + 4 x + 4 > 0 x > -4 Domain: { x | x > -4} b. f(x) = 2 + x x 2 – 7x

32. Ex. 5 Identify the domain & range of each function. a. y = √ x + 4 x + 4 > 0 x > -4 Domain: { x | x > -4} b. f(x) = 2 + x x 2 – 7x x 2 – 7x ≠ 0

33. Ex. 5 Identify the domain & range of each function. a. y = √ x + 4 x + 4 > 0 x > -4 Domain: { x | x > -4} b. f(x) = 2 + x x 2 – 7x x 2 – 7x ≠ 0 x(x – 7) ≠ 0

34. Ex. 5 Identify the domain & range of each function. a. y = √ x + 4 x + 4 > 0 x > -4 Domain: { x | x > -4} b. f(x) = 2 + x x 2 – 7x x 2 – 7x ≠ 0 x(x – 7) ≠ 0 x ≠ 0x ≠ 7

35. Ex. 5 Identify the domain & range of each function. a. y = √ x + 4 x + 4 > 0 x > -4 Domain: { x | x > -4} b. f(x) = 2 + x x 2 – 7x x 2 – 7x ≠ 0 x(x – 7) ≠ 0 x ≠ 0x ≠ 7 Domain: { x | x ≠ 0, x ≠ 7, x E R}