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). (C)</p> Signup and view all the answers

Which interval represents the overall behavior of the function?

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

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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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