Algebra: Linear & Quadratic Functions
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Questions and Answers

What is the range of the function f(x) = x²?

  • All real numbers
  • Only positive integers
  • All positive real numbers
  • All non-negative real numbers (correct)

What happens to the graph of the function f(x) = Ax² as the value of A increases?

  • The curve becomes steeper (correct)
  • The curve remains unchanged
  • The curve shifts to the left
  • The curve becomes less steep

What is the range of the function g(x) = x² + 2?

  • {g(x) ≥ -1}
  • {g(x) ≥ 2} (correct)
  • {g(x) ≥ 0}
  • All real numbers

What is the domain of the function f(x) = 2/x²?

<p>All non-zero real numbers (D)</p> Signup and view all the answers

What is the equation of the axis of symmetry of the function f(x) = x² + 2?

<p>x = 0 (B)</p> Signup and view all the answers

What is the range of the function i(x) = 2x²?

<p>{i(x) ≥ 0} (C)</p> Signup and view all the answers

What is the equation of the function that passes through the points (0, 2) and (2, 6)?

<p>f(x) = x² + 2 (D)</p> Signup and view all the answers

What is the vertex of the function f(x) = x² + 2?

<p>(0, 2) (A)</p> Signup and view all the answers

What is the range of the function g(x) = -x² + 1?

<p>{g(x) ≥ -1} (A)</p> Signup and view all the answers

What is the equation of the function that passes through the points (1, 3) and (-1, 3)?

<p>f(x) = x² + 2 (A)</p> Signup and view all the answers

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