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 c for which the equation f(x) = c has exactly 6 solutions?
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
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