Relations, Functions, Domain and Range

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.

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)

Identify the domain and range. Does the relation represent y as a function of x?

• D: {4}

  R: {1, 3, 7, 10}

  No, it is not a function.

• D: {1, 3, 7, 10}

  R: {4}

  Yes, it is a function

• D: {4}

  R: {1, 3, 7, 10}

  Yes, it is a function.

A relation pairs each input with exactly one output is a

• congruence

• similarity

• function

• mathematical equation

Determine if the relations is a function and describe the pattern

• Yes it is a function, input goes up 1 and output goes up by 15

• Yes it is a function, input goes up 15 and output goes up by 1

• Not a function, input goes up 1 and output goes up by 15

• Not a function, input goes up by 15 and output goes up by 1