The graph of $y=f(x)$ is shown below, with $1$ unit between grid lines. Assume $f(x)$ is defined only on the domain shown.  What is the sum of all integers $c$ for which the equation $f(x)=c$ has exactly $6$ solutions?

Guest Mar 28, 2018
edited by Guest  Mar 28, 2018

There are 6 solutions when y = -3 and when y = -4.  i.e. a horizontal line at y = -3 cuts the curve in 6 places (similarly for y = -4).  Hence c = -3 and c = -4. I'll leave you to add them together!

Alan  Mar 28, 2018

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