Define ????: ℝ → {0,1} as the characteristic function of ℤ+, the set of positive integers. That is, ????(x) = ????A (x), for the
set A of positive integers = { n | n ∈ ℤ+ }.
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The coordinates of P' is (9, -6) and L' is (3, -1).
<h2>Given that</h2>PL has endpoints P(4, −6) and L(−2, 1).
The segment is translated using the mapping (x, y) → (x + 5, y).
<h3>We have to determine</h3>
What are the coordinates of P’ and L’?
<h3>According to the question</h3>PL has endpoints P(4, −6) and L(−2, 1).
The segment is translated using the mapping (x, y) → (x + 5, y).
The coordinates of point P after translation using mapping is,
And the coordinates of point L after translation using mapping is,
Hence, The coordinates of P' is (9, -6) and L' is (3, -1).
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