Basic Graphs of Functions

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.

Which set of ordered pairs represent a function?

• (9,5) (10,5) (9,-5) (10,-5)

• (3,4) (4,-3) (7,4) (3, 8)

• (6,-5) (7, -3) (8, -1) (9, 1)

• (2, -2) (5, 9) (5, -7) (1, 4)

Is this graph a function or not a function? 

• Function
• Not a Function

Give the domain and range. Tell if it is a function.

• D: {-4, -2, 0, 2}
  R: {-2, -2, 1, 1}
  Function
• D: {-4, -2, 0, 2}
  R: {-2, 1}
  Function
• D: {-4, -2, 0, 2}
  R: {-2, -2, 1, 1}
  Not a Function
• D: {-4, -2, 0, 2}
  R: {-2, 1}
  Not a Function

Which graph does NOT pass the vertical line test?

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

• Left 4

• Right 4

• Up 4

• Down 4

• Horz shift right 2   Vert shift up 4

• Horz shift left 2  Vert shift up 4

• Horz shift right 2   Vert shift down 4

• Horz shift left 2   Vert shift up 4

Which equation below is a quadratic function translated up 5 units?

• y = x² + 5
• y = (x + 5)²
• y = 5x²
• y = -x² - 5

• 12

• -2

• -3

• 9

• f(-1) = -20

• f(-1) = -24

• f(-1) = -10

• f(-1) = -14