Engineering Board Exam Reviewer · One-Sided Limits and Continuity · medium

Find the value of k that makes f(x)= casesx2+k, & x<3\ 2x+1, & x≥3 cases continuous at x=3.

  1. 2
  2. 7
  3. 16
  4. -2

Answer

D. -2

Solution

Continuity needs x 3-f=f(3): 9+k=2(3)+1=7 k=-2.

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  7. Determine the type of discontinuity, if any, of f(x)=1/x-3 at x=3.
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