The piecewise function represented by the graph is:
What is a piecewise function?
A piecewise function is a function that has different definitions, depending on the input.
For x to the left of 0, inclusive, the function is constant at y = -3, hence the definition is:
f(x) = -3, x ≤ 0.
For x to the right of 0, with an open interval, the function is linear, with an intercept of 3(when x = 0, y = 3) and a slope of -3(the function fell from y = 3 to y = 0 when x moved from x = 0 to x = 1), hence:
f(x) = 3 - 3x, x > 0.
More can be learned about piecewise functions at https://brainly.com/question/27262465
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