Calculus: 1001 Practice Problems For Dummies (+ Free Online Practice). Patrick Jones

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Continuity and Discontinuities

       256–261 Determine whether the function is continuous at the given value of a. If it’s continuous, state the value at f(a). If it isn’t continuous, classify the discontinuity as a jump, removable, or infinite discontinuity.

      256.

      where

      257.

      where

      258.

where

      259.

      where

      260.

      where

      261.

      where

       262–265 Determine whether the function is continuous at the given values of a. If it isn’t continuous, classify each discontinuity as a jump, removable, or infinite discontinuity.

      262.

      where and

      263.

      where and

      264.

      where and

      265.

      where and

Making a Function Continuous

       266–267 Determine the value of c that makes the given function continuous everywhere.

266.

      267.

The Intermediate Value Theorem

       268–271 Determine which of the given intervals is guaranteed to contain a root of the function by the intermediate value theorem.

      268. By checking only the endpoints of each interval, determine which interval contains a root of the function by the intermediate value theorem:

      (A)

      (B)

      (C)

      (D)

      (E)

      269. By checking only the endpoints of each interval, determine which interval contains a root of the function by the intermediate value theorem:

      (A)

      (B)

      (C)

      (D)

      (E)

      270. By checking only the endpoints of each interval, determine which interval contains a solution to the equation according to the intermediate value theorem:

      (A)

      (B)

      (C)

      (D)

      (E) СКАЧАТЬ