+0

# Stuck on this Problem

0
63
1

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

#1
+6939
+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
Sort:

#1
+6939
+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

### 26 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details