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Take f = kx² when x ≤ 2 and f = 3 when x > 2. Continuity at 2 forces k to be what?

A3/2
B4/3
C3
D3/4
Answer & Solution
Correct answer: D. 3/4
Matching the two pieces at 2 gives 4k = 3, so k = 3/4.
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