Answer:
-3
Explanation:
You want the value of p(2), given the piecewise definition of function p.
Domain
The function definition divides its domain into three (3) parts. The first step in evaluating the function for a particular value of x is to find the applicable domain.
Here, you want the value of p(x) for x = 2.
The third domain expression (2 ≤ x < 5) includes the value x = 2, so the third function definition applies:
Evaluation
p(x) = x -5
p(2) = 2 -5 = -3
The value of p(2) is -3.
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Additional comment
A graph of the function is attached. The point of interest is circled in green. (2, p(2)) = (2, -3).
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