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.8.F.A.1

CCSS.HSF.IF.B.5

When the linear parent function y = x is changed to the absolute value parent function y = |x|, how is its graph affected?

• All points for x > 0 are reflected over the x axis

• All points for x > 0 are reflected over the y axis

• All points for x < 0 are reflected over the x axis

• All points for x < 0 are reflected over the y axis

Which equation describes the absolute value function shown in this table?

• y = |x| + 7

• y = |x - 7|

• y = -|x| + 7

• y = |x| - 7

Tags

CCSS.HSF-IF.C.7D

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

Here is a representation of |x +1| - 3 = 1. What is the solution set of the equation?

• {-5, 3}

• (-5, 3)

• [-5, 3]

• 1

Select all correct answers to |x + 1|- 3  $\le$  1

• ( -5, 3 )

• [-5, 3]

• {x | -5  $\le$  x  $\le$  3}

• {-5, 3}