Domain and range

What is the definition of function?

• Has inputs and outputs

• Every input has only one output

• Inputs have different outputs every time

• x-values and y-values

What is the domain?

• $-2\le y\le2$
  

• $-4\le x\le4$
  

• $-2\le x\le2$
  

• $-4\le y\le4$

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

• D: {1, -3, -4,}

  R: {0, 1, 2, -4}

• D: {-4, 0, 1, 2}

  R:{-4, -3, 1}

• D: {0, 1, 2, 3, 4}

  R:{1, -3, -4}

• D: {0, 1, 2, -4}

  R: {1, -3, -4, 1}

• {1, 2, 3, 4, 5}
• {-1, 1, 2, 3}
• {1, 2, 3, 5}
• [1, 5]

• Function
• Not a Function

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

• {-4, 4, 8, 9}
• {-2, 3, 8, 10}
• {(9, -2) ( 4, 3)}
• {(8, 10) (-4, 8)}

What is the Domain of this linear function?

• -3 < x ≤ 5
• x = -1
• 5 < x ≤ -3
• -2 < x ≤ 6

What is the range of the graph?

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

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.
• Yes, because each x-value has only one y-value paired with it.
• No, because the x-value 11 has two y-values pair with it.
• No, because each x-value has only one y-value paired with it.

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

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