Quadratic Inequalities Quiz
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Questions and Answers

Which techniques will be used to solve quadratic inequalities in this section?

  • Only techniques from solving linear inequalities
  • Techniques from solving linear inequalities and quadratic equations
  • Techniques from solving linear and rational inequalities, as well as quadratic equations (correct)
  • Only techniques from solving rational inequalities
  • What is the standard form of a quadratic inequality?

  • $ax^2 + bx + c < 0$
  • $ax^2 + bx + c = 0$
  • $ax^2 + bx + c = y$
  • $ax^2 + bx + c > 0$ (correct)
  • How will quadratic inequalities be solved in this section?

  • Both graphically and algebraically (correct)
  • Neither graphically nor algebraically
  • Only graphically
  • Only algebraically
  • What is the graph of a quadratic function $f(x) = ax^2 + bx + c$ called?

    <p>Quadratic graph</p> Signup and view all the answers

    What were some of the techniques used to solve linear and rational inequalities?

    <p>Techniques from solving linear and rational inequalities, as well as quadratic equations</p> Signup and view all the answers

    Quadratic inequalities are solved __________ and ____________.

    <p>graphically, algebraically</p> Signup and view all the answers

    A quadratic equation is in standard form when written as ________.

    <p>$ax^{2}+bx+c=0$</p> Signup and view all the answers

    The graph of a quadratic function $f(x)=ax^{2}+bx+c$ is called a ____________.

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

    To solve quadratic inequalities graphically, we need to plot the ___________.

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

    In solving quadratic inequalities algebraically, we will use techniques from solving _________ and __________ inequalities.

    <p>linear, rational</p> Signup and view all the answers

    Study Notes

    Solving Quadratic Inequalities

    • Learn to solve quadratic inequalities algebraically and graphically
    • Combine techniques from linear and rational inequalities and quadratic equations to solve quadratic inequalities

    Quadratic Equations and Inequalities

    • A quadratic equation is in standard form when written as (ax^{2}+bx+c=0)
    • Replace the equal sign with an inequality sign to get a quadratic inequality in standard form

    Graphing Quadratic Functions

    • The graph of a quadratic function is represented as (f(x)=a x^{2}+b x+c)

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    Description

    Test your readiness to solve quadratic inequalities with this quiz. Assess your understanding of the techniques used to solve linear and rational inequalities in preparation for tackling quadratic inequalities.

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