Mathematical Communication and Quadratic Functions Quiz
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Questions and Answers

What is the rate of change of a linear function?

  • The x-intercept
  • The zeros
  • The slope (correct)
  • The y-intercept

    • In linear equations, what does 'y = mx + b' represent?

  • The slope
  • The x-intercept
  • The zeros
  • The y-intercept (correct)

    • What key feature does the x-intercept represent in linear functions?

  • The y-intercept
  • The rate of change
  • The slope
  • The point where the graph crosses the x-axis (correct)

    • If a linear function is represented by Ax + By = C, what does 'A' represent?

    <p>A constant term</p> Signup and view all the answers

    What transformation occurs when f(x) is replaced by af(x) in linear functions?

    <p>Vertical stretch or compression</p> Signup and view all the answers

    How can you estimate graphically the solutions to a system of two linear equations?

    <p>By determining points of intersection on the graph</p> Signup and view all the answers

    Which method can be used to write the equation of a quadratic function when given the vertex and another point on the graph?

    <p>Writing it in vertex form</p> Signup and view all the answers

    What does the domain of a quadratic function represent?

    <p>Set of x-values</p> Signup and view all the answers

    Which method is NOT typically used to solve quadratic equations with real solutions?

    <p>Graphing</p> Signup and view all the answers

    If a linear function has a slope of 3, what does this indicate about the line?

    <p>The line is increasing</p> Signup and view all the answers

    What key attribute can be identified from the graph of a quadratic function?

    <p>Minimum value</p> Signup and view all the answers

    When writing linear equations in two variables given a table of values, what does each row in the table represent?

    <p>A pair of input-output values</p> Signup and view all the answers

    How can a student identify key attributes of a quadratic function graph?

    <p>By determining the x-intercept and zeros</p> Signup and view all the answers

    What is the relationship between the linear factors of quadratic expressions and the zeros of their associated quadratic functions?

    <p>The zeros are the solutions of the linear factors</p> Signup and view all the answers

    What effect does replacing ƒ(x) with af(x) have on the graph of the parent function f(x) = x²?

    <p>Vertical stretch or compression</p> Signup and view all the answers

    How can quadratic equations with real solutions be solved?

    <p>By completing the square</p> Signup and view all the answers

    What does writing quadratic functions using technology enable students to do?

    <p>Estimate solutions to real-world problems</p> Signup and view all the answers

    In what way can real-world data be used to evaluate statistical relationships?

    <p>By formulating and evaluating statistical relationships based on data</p> Signup and view all the answers

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