12. Module A Outcome 2 Piecewise and Absolute Value

Check all of the boxes that are true statments.

• f(0) = 2

• f(-1) = 1

• f(-4) = -10

Tags

CCSS.HSA.SSE.A.1

Rewrite the absolute value function as a piecewise function

 $p\left(x\right)=\left|x+4\right|$  

• 
  -x-4     x $\le$  -4
  x+4      x $>$  -4

• -x-4     x  $\ge$    -4
  
  x+4      x   $<$   -4

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Using the following absolute value f(x)=|x-4|-6 check all of the true statements.

• The vertex of the absolute value function is (4,-6)

• 
  The Range of the absolute value function is
  [−6,∞)

• The Domain of the absolute value function is (-inf,INF)

• An increasing interval of the absolute value is

  (4, inf)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

Given the parent function f(x) =|x|, what transformations have taken place to get the new function f(x) = -2|x+4|+6. Check all that apply.

• The function has translations left four and up six

• The function has translations right four and up six

• The function is reflected over the x-axis

• The function has a vertical stretch of two

• The function has vertical compression of two

Tags

CCSS.HSF.BF.B.3

Choose the Absolute Value function that is equivalent to the following Piecewise Function

• f(x) = 2|x+4|-1

• f(x) = 2|x-4|+1

• f(x) = -2|x+4| - 1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Using the following absolute value f(x) =|x-4|-6 find where the graph is increasing and decreasing. Check all that apply

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Given the parent function f(x ) =|x| , what transformations have taken place to get the new function f(x)= |2x|- 6. Check all that apply

• The absolute value has a vertical translation of down 6

• The absolute value has a horizontal compression of 1/2

• The absolute value has a horizontal stretch of 2

• The absolute value has a reflection about the x-axis.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Use the graph of g(x) = 2|x|+1 determine all of the true statements.

• The vertex is a minimum at the point (0,1)

• The Vertex is a maximum at the point (0,1)

• 
  The function is increasing from
  $\left[0,\infty\right)$ , The function is decreasing on the interval $\left(-\infty,0\right]$

  
  

• The range of the function is $\left(-\infty,\infty\right)$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Given the function h(x) = |2x-4| - 7 check all of the statements that are false.

• The vertex is ( 2, -7)

• The vertex is (4,-7)

• The x- intercepts of the absolute value function is x=-1.5 and x= 5.5

• [−7,∞)

  The range of the function is [

Tags

CCSS.HSA.REI.D.10

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3