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The graph of y = f(x) is shown below, with one unit between grid lines. Assume f(x) is defined only on the domain shown. What is the sum of all integers for which the equation f(x) = c has exactly 6 solutions?

 

Guest Jan 29, 2018

Best Answer 

 #1
avatar+7070 
+3

What values for  c  make the equation  f(x) = c  have  6 solutions?

 

For example....

 

f( -5.5 )  =  6      and     f( 5.5 )  =  6

 

Therefore  f(x)  =  6  has  2  solutions.  They are  x = -5.5  and  x = 5.5 .

 

f(x)  =  -3   has  6  solutions.

f(x)  =  -4   has  6  solutions.

 

Those are the only integer values for  c  that make  f(x) = c  have  6  solutions.

 

-3  +  -4   =   -7

hectictar  Jan 29, 2018
 #1
avatar+7070 
+3
Best Answer

What values for  c  make the equation  f(x) = c  have  6 solutions?

 

For example....

 

f( -5.5 )  =  6      and     f( 5.5 )  =  6

 

Therefore  f(x)  =  6  has  2  solutions.  They are  x = -5.5  and  x = 5.5 .

 

f(x)  =  -3   has  6  solutions.

f(x)  =  -4   has  6  solutions.

 

Those are the only integer values for  c  that make  f(x) = c  have  6  solutions.

 

-3  +  -4   =   -7

hectictar  Jan 29, 2018

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