Functions in General Mathematics
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Questions and Answers

What defines an even function?

  • The graph is symmetric about the origin.
  • The function changes signs at x = 0.
  • f(-x) = -f(x) for all x in its domain.
  • f(x) = f(-x) for all x in its domain. (correct)

    • Which of the following transformations represents a vertical shift of a function f(x) upwards by 3 units?

  • f(x) + 3 (correct)
  • 3f(x)
  • f(3x)
  • f(x) - 3

    • If f(x) is defined only for x ≥ 0, what can be said about its domain?

  • The domain is limited to integers only.
  • The domain includes all real numbers.
  • The domain is the set of positive real numbers.
  • The domain is limited to non-negative real numbers. (correct)

    • What is the range of the function f(x) = x^2?

    <p>Non-negative real numbers.</p> Signup and view all the answers

    Which of the following statements about composite functions is true?

    <p>The domain of the composite function must match the domains of both functions.</p> Signup and view all the answers

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