Answer:
From x = 0 to 3, f(x) = x^2.
From x = 3 to 6, f(x) = -x + 10
From x = 6 to 10, f(x) = x - 2
Explanation:
The first part of the graph is a parabola that opens up with vertex at (0, 0). We check a few points, such as (0, 0), (1, 1), (2, 4), and (3, 9). The graph is f(x) = x^2.
The second part of a graph is a straight line with negative slope. The slope is -1. Prolong the line to the y-axis to get a y-intercept of 10. The equation is f(x) = -x + 10.
The third part of a graph is a straight line with positive slope. The slope is 1. Prolong the line to the y-axis to get a y-intercept of -2. The equation is f(x) = x - 2.
From x = 0 to 3, f(x) = x^2.
From x = 3 to 6, f(x) = -x + 10
From x = 6 to 10, f(x) = x - 2