Write the equation of the function graphed.
A.

f(x) = |x| + 4

B.

f(x) = |x| – 4

C.

f(x) = |x – 4|

D.

f(x) = |x + 4|

Question

Write the equation of the function graphed.
A. 
 
f(x) = |x| + 4
   
   

 

 
  

  B. 
 
f(x) = |x| – 4
   
   

 

 
  

  C. 
 
f(x) = |x – 4|
   
   

 

 
  

  D. 
 
f(x) = |x + 4|

anonymous · Answer

attachment

tkhunny · Answer

It NEVER goes negative.  This rules out B.
It DOES get all the way to zero (0).  This rules out A.

Where does it take on the minimum value?  This will decide it.

anonymous · Answer

f(x) = |x – 4| ?

tkhunny · Answer

You didn't answer my question.  Where does it take on the minimum value?

anonymous · Answer

do you mean the points? or am I getting that wrong as well?

tkhunny · Answer

The minimum value of the function - as presented in the graph.  Where is it?

x = ??

anonymous · Answer

-4

tkhunny · Answer

x = -4 -- Good.

What is the value of |x-4| at x = -4?
What is the value of |x+4| at x = -4?