The Derivative: Quiz

Problem 1

The graphs below belong in pairs, a function and its derivative. Match them, choosing one of the second column (a – d) to match with each one of the first column (1 – 4).

Answers, problem 1

  1. d - The graph is a straight line that slopes upwards, so we expect the slope to be a positive constant
  2. a - The slope of the graph gets larger and larger as we move away from the origin, so we expect the graph of the slope to be a curve that bends upwards
  3. b - The graph is a straight line that slopes downwards, so we expect the slope to be a negative constant
  4. c - As we move from negative x to positive x, the slope changes from negative to postive

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