Piecewise functions

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.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Solve | 3x - 6 | - 9 = -3

• No Solution
• x = 0 and x = 4
• x = 2 and x = -2
• x = -4 and x = 4

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,∞)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

• x = 2 or x =-6
• x = -2 or x =6
• x = 2 or x =-2
• No Solutions

Which graph matches the function:
y = -2|x - 3| + 5

• A
• B
• C
• D

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Write 5|x-2|-3 as a piecewise function. 

• 5x-13 for x>=2 and -5x+7 for x<2
• 5x-13 for x>2 and -5x-13 for x<=2
• 5(x-2)-3
• 5x-5 for x<3 and -5x-5 for x>=3

What is f(x) when x equals 4?

• -5
• 0
• 3
• 6

Use the piecewise function from the picture.  Evaluate f(-4).

• 7
• 7.9
• -4
• -25

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2