Answer:
y = (1/2)|x -8| -3
Step-by-step explanation:
The first five points fall on a straight line with a slope of ...
∆y/∆x = -0.5/1 = -0.5
The last point is not on that line.
So, several options are available:
- write a piecewise function with f(10) having a special definition: y={1-x/2, x≠10; -2, x=10}
- write a piecewise function with any definition for x > 5 such that f(10) = -2: y={1-x/2, x≤6; -2, x>6}
- use a function, such as absolute value, that changes slope in a way that makes f(10) = -2. Such a function is shown in the first attached graph
- simply list the points. Such a list is a "function rule". (x, y) ∈ {(1, 0.5), (2, 0), (3, -0.5), (4, -1), (5, -1.5), (10, -2)}.
