Answer:
a. f(0) = 2
b. f(3) = 11
c. f(-2) = -2
Explanation:
Graph each piece in the usual way. The domain of each piece is shown in the function definition.
For x ≥ 0, the graph is a parabola opening upward with its vertex at (0, 2). It will go through the points (1, 3) and (2, 6).
For x < 0, the graph is a line with slope 2 and y-intercept 3. There is an open circle at (0, 3) indicating the function is not defined there. The line goes through the points (-1, 1) and (-2, -1).
When you evaluate the function, you choose the piece that applies to the value of x you have. For x = 0 and x = 3, the parabola is used. For x = -2, the line is used.
For example, f(3) = 3² +2 = 11, and f(-2) = 2(-2) +3 = -1.
The graph and function values are shown in the attachment.