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

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 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

What is the range of the graph?
Remember: Range is the "y" values (up and down) 

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

What is the range?
Remember range is the "y" values (up and down) 
And an open circle means it DOES NOT equal that number - use < and >
Only use ≤ and ≥ with a closed circle. 

• -4 < x ≤ 5
• -4 ≤ x < 5
• -3 < y < 3
• -3 ≤ y ≤ 3

What is the domain?
Remember domain is the "x" values. 
And an open circle means it DOES NOT equal that number - use < and >
Only use ≤ and ≥ with a closed circle.

• -4 < x ≤ 5
• -4 ≤ x < 5
• -3 < y < 3
• -3 ≤ y ≤ 3