The complete graph of y=f(x), which consists of five line segments, is shown in red below. (On this graph, the distance between grid lines is 1.)
What is the sum of the -coordinates of all points where f(x)=1.8?
The equation of the line joining (0, 0) and (1, 2) is
y = 2x
So when y = 1.8 x = .9
The equation of the line joining (1, 2) and (2, 1) is
y = -(x - 1) + 2
y = -x + 3
So.....when y = 1.8
1.8 = - x + 3
-1.2 = -x
1.2 = x
The equation of the line joining (2, 1) and (3, 3) is
y = 2(x -3) + 3
y = 2x - 6 + 3
y = 2x - 3
When y = 1.8
1.8 = 2x - 3
4.8 = 2x
2.4 = x
I assume you want the sum of the x coordinates when y = 1.8???
If so...we have
.9 + 1.2 + 2.4 =
4.5