8E Unit 3: Absolute Value, Piecewise, and Step Functions Review

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.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

What is the equation of the graph below?

• f(x) = I x I -1
• f(x) = I x I +1
• f(x) = - I x I -1
• f(x) = -I x I +1

Tags

CCSS.HSF.IF.C.7

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 = I x I
y = -2 I x - 3 I + 3

• reflected over x axis, stretched by 2, right 3, up 3
• reflected over x axis, stretched by 2, left 3 up 3.
• reflected over x axis, shrunk by 2, right 3, up 3
• reflected over the x axis, shrunk by 2, left 3, up 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

What is the equation of the absolute value function?

• f(x)= 4|x+3|
• f(x)= 1/4 |x+3|
• f(x)= 1/4 |x - 3|
• f(x)= 4|x - 3|

Tags

CCSS.HSF-IF.C.7D

What is the vertex of the absolute value function?

• (4, 0)
• (0, 4)
• (-infinity, infinity)
• [4, infinity)

Tags

CCSS.HSF-IF.C.7D

What is the domain of the absolute value function?

• (4, 0)
• (0, 4)
• (-infinity, infinity)
• [4, infinity)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the range of the absolute value function?

• (-infinity, infinity)
• [3, infinity)
• [0, infinity)
• (-infinity, 3]

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Write the equation for a graph that is vertically compressed by a factor of 2/5 and shifted right 6.

• y=6|x|-2/5

• y=2/5|x|+6

• y=2/5|x+6|

• y=2/5|x-6|

Tags

CCSS.HSF.BF.B.3

CCSS.HSA.CED.A.2

CCSS.HSF.IF.C.8

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

What is the vertex of the following function?
y=2|x-3|+1

• (2,3)
• (-3,1)
• (2,-3)
• (3,1)

Tags

CCSS.HSF-IF.C.7D