Answer:
See below
Step-by-step explanation:
Given is the piecewise function.
It has three different pieces.
The first piece
Plot the point (-2,2) and draw a horizontal line to the left from this point
The second piece
- f(x) = 1/2x + 3, at the interval -2<x≤1
Plot two border points at x = -2 and x = 1:
- f(-2) = 1/2*(-2) + 3 = 2, point (-2, 2)
and
- f(1) = 1/2*1 + 3 = 3.5, point (1, 3.5)
Connect these two points with a line segment
The third piece
- f(x) = -7/8x + 35/8, at x > 1
Plot two points at x = 1 and x = 5 (5 is an example, it could be anything > 1)
- f(1) = -7/8*1 + 35/8 = 28/8 = 3.5
and
Connect the two points (1, 3.5) and (5, 0) and extend the line to the right
Remember the point (-2,2) belongs to the first piece and the point (1, 3.5) belongs to the second piece.
The graph is attached
