2Acontinuity_lecture5_8am - 2A Lecture 5(part 2 In t r o d...

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2A - Lecture 5 (part 2) Introduction to Section 2.5 Continuity
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Continuity on [a,b] Informal Definition: A function f is continuous on [a,b] if its graph has no break.
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Continuity at a point x 0 Informal Definition: A function f is continuous at x 0 if f(x) is defined at x 0 , and f(x) approaches f(x 0 ) as x approaches x 0 x x 0 =2 from either right or left f(x) f(2) x x 0 =2 from right f(x) -1 = f(2) Continuous at x 0 =2 Not continuous at x 0 =2
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A drippy faucet adds one milliliter to the volume of water in a tub at precisely one second intervals. Let f(t) be the volume of water in the tub at time t. Choose the correct answer: (a) f is a continuous function at every time t (b) f is continuous for all t other than the precise instants when the water drips into the tub (c) f is not continuous at any time t Question
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A drippy faucet adds one milliliter to the volume of water in a tub at precisely one second intervals. Let f(t) be the volume of water in the tub at time t.
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  • Fall '10
  • AlessandraPANTANO
  • Calculus, Continuity, Continuous function, Rational number, Inverse function

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