Function Analysis Based on Graph
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Questions and Answers

On which interval is the function increasing?

  • (-2, 1)
  • (-4, -2)
  • (-∞, -4) (correct)
  • (-7, -4)
  • During which interval is the function constant?

  • (-7, -4) (correct)
  • (-4, -2)
  • (-2, 1)
  • (-∞, -7)
  • At which interval does the function start decreasing?

  • (-1, 1)
  • (-4, -2)
  • (-2, 1) (correct)
  • (-∞, -2)
  • Which of the following statements about the function is correct?

    <p>The function is decreasing over the interval (-2, 1).</p> Signup and view all the answers

    Which interval represents the overall behavior of the function?

    <p>From -4 to -2 it is increasing.</p> Signup and view all the answers

    Study Notes

    Function Analysis Based on Graph

    • The graph represents a piecewise function.
    • The function increases on the interval (-∞, -4).
    • This means as the x-values get smaller (moving leftward on the x-axis), the corresponding y-values increase.
    • The function exhibits a horizontal pattern between x-values of -7 to -4.
    • This suggests a constant value for the function within this range.
    • The graph dips down to the point (-2,1) indicating a change in the function's behavior.
    • The function decreases to the right of x = -2.
    • This indicates that as the x-values increase (moving rightward on the x-axis), the corresponding y-values decrease.

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    Description

    This quiz explores the behavior of a piecewise function as represented by its graph. You will analyze how the function increases, remains constant, and decreases across different intervals on the x-axis. Test your understanding of function characteristics and their graphical representations.

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