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5 4 continuity-ofa_function
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5 4 continuity-ofa_function

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Transcript

  • 1. Continuity of a Function
  • 2.
    • A function is continuous if you can draw it without lifting your pen from the paper.
  • 3.
    • A function is continuous at a point x = a if
    • f ( a ) is defined
    • exists and
  • 4.
    • Some Important Continuous Functions
    • All polynomial functions
    • Rational functions, as long as the denominator is nonzero
    • The sum, difference, product, and quotient (as long as the denominator is nonzero) of two continuous functions
  • 5.
    • 2.a Determine whether each function is continuous or discontinuous. If discontinuous, state where it is discontinuous.