Absolute Value Functions Review

What is the vertex of the following function? g(x) = -1/5 |x + 6| +4

• (6, 4)

• (-6, -4)

• (-6, 4)

• (6, -4)

Tags

CCSS.HSF-IF.C.7D

What should the first step be when solving this absolute value equation algebraically? -2|3x - 6| + 5 = 1

• Distribute -2 to 3x and -6

• Divide both sides by -2

• Add 2 on both sides

• Subtract 5 from both sides

Halfway through solving this equation, a student concluded that there is no solution because the equation looks like this: -2|3x - 6| = -4 . Is the student correct?

• Yes. An absolute value expression may not equal to a negative value. The student should stop right here and write "No Solution".

• No. The student should continue. There is one x-value that will make the equation true.

• No. The student should continue. There are two x-values that will make the equation true.

The solution to this inequality is

i) x < 3

ii) x > 3

iii) x > 4

iv) x < -3

• The solution includes both i and iii

• The solution includes both iii and iv

• The solution is ii only

• There is no solution

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

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

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

What is the range of this absolute value function?

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5