The graph represents the piecewise function

look at the picture

there are three answers in total

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f(x) = {x^2, 0 ≤ x < 3
.. .. .. {10 -x, 3 < x ≤ 6
.. .. .. {(3/2)x -5, 6 ≤ x ≤ 10

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Note that the last two function segments both give (6, 4), but it is bad form to define a piecewise function such that the pieces overlap. That is, f(6) has two definitions.