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Domain and Range of Parent Functions

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Termini in questo insieme (20)

  • What is the domain of the linear parent function \(f(x) = x\)?
    The domain is all real numbers, \((-\infty, \infty)\).
  • What is the range of the linear parent function \(f(x) = x\)?
    The range is all real numbers, \((-\infty, \infty)\).
  • What is the domain of the quadratic parent function \(f(x) = x^2\)?
    The domain is all real numbers, \((-\infty, \infty)\).
  • What is the range of the quadratic parent function \(f(x) = x^2\)?
    The range is all real numbers greater than or equal to zero, \([0, \infty)\).
  • What is the domain of the square root parent function \(f(x) = \sqrt{x}\)?
    The domain is all real numbers greater than or equal to zero, \([0, \infty)\).
  • What is the range of the square root parent function \(f(x) = \sqrt{x}\)?
    The range is all real numbers greater than or equal to zero, \([0, \infty)\).
  • What is the domain of the absolute value parent function \(f(x) = |x|\)?
    The domain is all real numbers, \((-\infty, \infty)\).
  • What is the range of the absolute value parent function \(f(x) = |x|\)?
    The range is all real numbers greater than or equal to zero, \([0, \infty)\).
  • What is the domain of the cubic parent function \(f(x) = x^3\)?
    The domain is all real numbers, \((-\infty, \infty)\).
  • What is the range of the cubic parent function \(f(x) = x^3\)?
    The range is all real numbers, \((-\infty, \infty)\).
  • What is the domain of the reciprocal parent function \(f(x) = \frac{1}{x}\)?
    The domain is all real numbers except zero, \((-\infty, 0) \cup (0, \infty)\).
  • What is the range of the reciprocal parent function \(f(x) = \frac{1}{x}\)?
    The range is all real numbers except zero, \((-\infty, 0) \cup (0, \infty)\).
  • What is the domain of the exponential parent function \(f(x) = a^x, a > 0, a \neq 1\)?
    The domain is all real numbers, \((-\infty, \infty)\).
  • What is the range of the exponential parent function \(f(x) = a^x, a > 0, a \neq 1\)?
    The range is all positive real numbers, \((0, \infty)\).
  • What is the domain of the logarithmic parent function \(f(x) = \log_a x, a > 0, a \neq 1\)?
    The domain is all positive real numbers, \((0, \infty)\).
  • What is the range of the logarithmic parent function \(f(x) = \log_a x, a > 0, a \neq 1\)?
    The range is all real numbers, \((-\infty, \infty)\).
  • What is the domain of the sine parent function \(f(x) = \sin x\)?
    The domain is all real numbers, \((-\infty, \infty)\).
  • What is the range of the sine parent function \(f(x) = \sin x\)?
    The range is between -1 and 1 inclusive, \([-1, 1]\).
  • What is the domain of the cosine parent function \(f(x) = \cos x\)?
    The domain is all real numbers, \((-\infty, \infty)\).
  • What is the range of the cosine parent function \(f(x) = \cos x\)?
    The range is between -1 and 1 inclusive, \([-1, 1]\).