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The piece-wise function is defined as follows:
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A piece-wise function is a function that has multiple definitions, depending on the input.
In this graph, for x at least 0 and less than 3, the parabolic curve passes through (0,0), (1,1), (2,4) and has an open interval at (3,9), hence the definition is:
For x greater than 3 and at most 6, it is a line going through (3,9) and (6,4), hence:
Goes through (3,9), hence:
b = 14.
So
For x between 6 and 10, it is a line going through (6,4) and (10,10), hence:
Then:
When x = 10, f(x) = 10, hence:
10 = 15 + b
b = -5.
Hence:
More can be learned about piece-wise functions at brainly.com/question/24734454
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