Absolute Value Unit Review

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 = 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.HSF.IF.C.7

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

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

What is the range of the absolute value function?

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

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

If a function y = f(x) is changed to y = -f(x), how is the graph of the new function changed?

• It is shifted down 1 unit

• It is reflected over the x axis

• It is shifted left 1 unit

• It is vertically stretched by a factor of 2

Tags

CCSS.HSF.BF.B.3

What is the domain of all absolute value functions?

• $\left[0\ ,\ \infty\right)$

• $\left(\infty,\ -\infty\right)$

• $\left(-\infty,\ \infty\right)$

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

Solve for k.

|k - 9| = 4

• 5, 13

• -5, -13

• 5, -5

• 13

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the inequality. 
|m| + 5 < 9

• m < 4
• m < -4
• -4 < m < 4
• m < 4,-4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

What is the solution of the inequality $|2x+3|>7$  ?

•  $[-5,2]$  

•  $(-∞,-5)∪(2,∞)$  

•  $(-5,2)$  

•  $(-∞,-5]∪[2,∞)$