Question

ty
Which defines the piecewise function shown?
4.
O f(x) =
- x - 2, X < 0
х
2'
x > 0
2.
O f(x) =
х
- x - 2, X < 0
- x 20
xin
4.
-2
N
4.
-20
O f(x) =
-
x < 0
A
x -2, x 20
-4
O f(x) = 2
x ko
x - 2, X 2 0

Answer 1

The choice which defines the piecewise function shown in the graph is; Choice B.

Piecewise functions

For the line originating from the center and plotted towards the right (i.e Positive x-axis)

We can conclude that the line can be represented by the function; f(x) = -x/2 and slope = -1/2 where; x>= 0 due to the solid dot

For the line whose y-intercept is at point, (0, -2), and is plotted towards negative x; we have;

We can conclude the equation of the line can be represented by the function; f(x) = -x -2 where slope = -1, and domain; x < 0

Ultimately, the aggregate of both functions give s the required piecewise function as represented in Choice B.

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