Domain and Range

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain.
Remember:  Domain is x 
(x,y)

• D: {1, -3, -4,}
  R: {0, 1, 2, -4}
• D:{0, 1, 2, -4}
  R:{1, -3, -4}
• D:{0, 1, 2, 3, 4}
  R:{1, -3, -4}

What is the range of the graph?
Remember: Range is y! 

• 1 ≤ x ≤ 5
• 1 < x < 5
• 1 ≤ y ≤ 5
• 1 < y < 5

What is the domain of the graph?
Remember:  Domain is x

• 1≤ x ≤ 4
• 1 < x < 4
• 1≤ y ≤ 4
• 1 < y < 4

Does the graph represent a function?
If you have an x value that has 2 "y" values it is NOT a function! 

• Yes, because the vertical line test shows there are no repeating input values
• No, because the vertical line test shows there are repeating input values

Which graph does NOT pass the vertical line test?

• Graph 1
• Graph 2
• Graph 3
• Graph 4

All of the y values or outputs are called what?

• Domain
• Range

All of the x values or inputs are called what?

• Domain
• Range

What is the range of the following relation:

(9, -2) (4, 3) ( 8, 10) ( -4, 8)

Remember: Range is the y values

(x,y)

• -4, 4, 8, 9

• -2, 3, 8, 10

• (9, -2) ( 4, 3)

• (8, 10) (-4, 8)

Identify the domain of the following relation:
Remember domain is the "x" values

• -6, 14, 2, 28
• (-6,14), (0,32), (2,38), (4,44)
• -6, 0, 2, 4
• 14, 32, 38, 44

What is the domain of the graph?
Remember:   Domain is the "x" values from left to right

• -7 ≤ x < 5
• -3 ≤ x < 1
• -3 ≤ y < 1
• -7 ≤ y < 5