The definition of the piecewise function in this problem is given by:
a.
<h3>What is a piecewise function?</h3>
A piecewise function is a function that has different definitions, depending on the input.
For x until x = 2, we have a <u>linear function with an intercept of 1 and slope of 1</u>, hence the definition is:
y = x + 1, x ≤ 2.
After x = 2, the function is shifted up one unit, hence:
y = x + 1 + 1, x > 2
y = x + 2, x > 2.
Hence option A is correct.
More can be learned about piecewise functions at brainly.com/question/27262465
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