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What is the value of k for which the function f(x) = { kx, x < 2; x^2, x >= 2 } is continuous at x = 2?

Practice Questions

1 question
Q1
What is the value of k for which the function f(x) = { kx, x < 2; x^2, x >= 2 } is continuous at x = 2?
  1. 0
  2. 2
  3. 4
  4. 1

Questions & Step-by-step Solutions

1 item
Q
Q: What is the value of k for which the function f(x) = { kx, x < 2; x^2, x >= 2 } is continuous at x = 2?
Solution: Setting k(2) = 2^2 gives 2k = 4, thus k = 2.
Steps: 0

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