Piecewise and Absolute Value

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.C.7D

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

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

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.

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)

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.HSF-IF.C.7D

Tags

CCSS.HSF-IF.C.7D

Convert the following absolute value functions to a piecewise function g\left(x\right) = 3\left|x-1\right|+2 . Check all that apply.

Tags

CCSS.HSF-IF.C.7D

Which of the following statements is true of the function?

Tags

CCSS.HSF-IF.C.7B

For what value of k is the piecewise function continuous?

Tags

CCSS.HSF-IF.C.7B