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12.4 Exercise 15

Avg difficulty 2.5

A runner runs along a straight east-west road. The function f( t ) f \left(t\right) gives how many feet eastward of her starting point she is after t t seconds. Interpret each of the following as it relates to the runner.

  1. ⓐ f( 0 )=0 f \left(0\right) = 0
  2. ⓑ f( 10 )=150 f \left(10\right) = 150
  3. ⓒ f ′ ( 10 )=15 f^{'} \left(10\right) = 15
  4. ⓓ f ′ ( 20 )=−10 f^{'} \left(20\right) = - 10
  5. ⓔ f( 40 )=−100 f \left(40\right) = −100

OpenStax Precalculus 2e, 12.4 Derivatives, exercise 15

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.