Absolute Value and Domain and Range

What is the equation of the absolute value function?

• f(x)= |x+4|
• f(x)= |x-4|
• f(x)= |x| + 4
• f(x)= |x| - 4

Tags

CCSS.HSF-IF.C.7D

What is the equation of the graph below?

• f(x) = I x + 2 I 
• f(x) = I x + 2 I +2
• f(x) = I x - 2 I +2
• f(x) = I x - 2 I 

Tags

CCSS.HSF-IF.C.7D

Describe the transformation of the equation below from the parent function of y = IxI
y = I x + 2 I - 5

• Left 2 up 5
• Right 2 up 5
• Left 2 down 5
• Right 2 down 5

What is the equation of the graph below?

• f(x ) = I x + 4 I + 2
• f(x ) = -I x - 4 I + 2
• f(x ) = I x - 4 I + 2
• f(x ) = -I x + 4 I + 2

Tags

CCSS.HSF-IF.C.7D

What is the Domain and Range of  the Function?

• D:[2,∞)
  R:[0,∞)
• D: All Real numbers
  R:[0,∞)
• D:(2,∞)
  R:(0,∞)
• D:All Real Numbers
  R:(0,∞)

Which equation is graphed here?

• y = |x + 2| -3
• y = - |x - 2| +3
• y = - |x + 2| +3
• y = |x - 2| - 3

Tags

CCSS.HSF-IF.C.7D

Which equation is graphed here?

• y = -|x - 3|
• y = |x| -3
• y = -|x + 3|
• y = -|x| +3

What is the range of the function?

• (-∞,4]
• (-∞,∞)
• [4, ∞)
• (4,∞)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Describe the transformations from the parent graph to f(x) = -3∣x + 5∣ - 7

• Down 7, Left 5, Stretch by 3, Flip
• Up 7, Right 5, Stretch by 3, Flip
• Down 7, Left 5, Compress by 3, Flip
• Up 7, Right 5, Compress by 3, Flip

Describe the transformations that map f(x) to g(x). 
f(x) = ∣x + 1∣ - 3
g(x) = -2∣x - 3∣ + 5

• Flip, Compress by 2, Left 4, Down 8
• Flip, Compress by 2, Right 4, Up 8
• Flip, Stretch by 2, Left 4, Down 8
• Flip, Stretch by 2, Right 4, Up 8