Relations, Functions, Domain, and Range

Which relation does the mapping show?

• <(0, 1), (1, 2),(3, 4)>

• <(1, 0), (2, 1), (2, 2), (4, 3)>

• <(0, 1), (1, 2), (2, 2), (3, 4)>

• <(1, 0), (2, 1), (4, 3)>

What is the domain of the relation shown in the table?

• {12}

• {6, 18}

• {3, 9, 15, 16}

• {13}

Is the relation shown a function?

• No, because the x-value 11 is paired with 5 and 8.

• Yes, because each x-value has only one y-value paired with it.

Does the graph represent a function?

• Yes

• No

Is the relation shown in the mapping a function?

• No, because -1 and 4 are pared with 4.

• Yes, because every input is paired with exactly one output.

Identify the domain of the following relation:

• -6, 14, 2, 28

• (-6,14), (0,32), (2,38), (4,44)

• -6, 0, 2, 4

• 14, 32, 38, 44

What is the range of the following graph?

• -5, -1,  0 , 1, 5

• -4, -2, 0, 3, 6

• (-4, 1)  ( 6, 0)

• (6, 0)

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}

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

What is the range of the following relation:
(9, -2) (4, 3)  ( 8, 10) ( -4, 8)
Range is the y values 
(x,y)

• -4, 4, 8, 9

• -2, 3, 8, 10

• (9, -2) ( 4, 3)

• (8, 10) (-4, 8)