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A piecewise rule uses kx + 1 up to x = 5 and 3x − 5 beyond it. For continuity at 5, what is k?
A5/9
B1
C9/5
D2
Answer & Solution
Correct answer: C. 9/5
Equating 5k + 1 with 3(5) − 5 = 10 gives 5k = 9, so k = 9/5.
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