TEST#1 MODULE 1 & 2.1 GRAPHING ABS VALUE FUNCTIONS

Match the equation to its description.

• Reflected over x, right 2 and up 1
• Reflected over x, left 2 and up 1
• Reflected over x, right 2 and down 1
• Reflected over x, left 2 and down 1

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

Which of the following describes the horizontal and vertical translations of the following functions:

f(x) = |x + 4| - 9

• Left 4

  up 9

• Left 4

  Down 9

• Right 4

  up 9

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

Describe the transformation from the Absolute Value Parent Function.

• Stretches more narrow, shifts up 4 units

• Stretches more narrow, shifts down 4 units

• Compresses wider, shifts down 4 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Find the inverse of f(x) = -4x - 12

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

Tags

CCSS.HSF-BF.B.4A

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

Which function is graphed?

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

Tags

CCSS.HSF-IF.C.7D

Write an absolute value function given the following transformations:
Vertical Stretch of 2
Horizontal shift left 1 unit
Vertical shift down 9 units

• f(x) = |2x + 1| - 9
• f(x) = |2x - 1| - 9
• f(x) = 2|x + 1| - 9 
• f(x) = 2|x - 1| - 9

Tags

CCSS.HSF.BF.B.3

What is the equation of the graph below? You can click the picture to zoom in!

• y = - | x + 2| + 4
• y = - | x - 2| + 4
• y = | x - 2 | + 4
• y = | x - 2| - 4

Tags

CCSS.HSF-IF.C.7D

Describe the end behavior of the graph.

• $As\ x\ \rightarrow+\infty,\ f\left(x\right)\rightarrow-\infty$

  $As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$

• $As\ x\rightarrow+\infty,\ f\left(x\right)\rightarrow+\infty$

  $As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow+\infty$

• $As\ x\rightarrow+\infty,\ f\left(x\right)\rightarrow-\infty$

  $As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow+\infty$

• $As\ x\rightarrow+\infty,\ f\left(x\right)\rightarrow+\infty$

  $As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7