Long description: figure8

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A graph showing a triangular probability density function, f(x), that rises from zero at x equals negative two to a peak height of one-half at x equals zero, and then falls back to zero at x equals two.

Alt text: A graph showing a triangular probability density function, f(x), that rises from zero at x equals negative two to a peak height of one-half at x equals zero, and then falls back to zero at x equals two.

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  • The image displays a graph representing a continuous probability density function, denoted as \(f(x)\).
  • The horizontal axis is labeled with \(x\), ranging at least from negative two to two.
  • The vertical axis represents the function value, \(f(x)\).
  • The function forms a solid triangle shape on the graph.
  • The function value is zero at \(x\) equals negative two and at \(x\) equals two.
  • The peak of the triangular function occurs directly above \(x\) equals zero, where the function value reaches one-half.
  • The sides connecting the points (negative two, 0), (zero, one-half), and (two, 0) are straight lines, indicating the linear nature of the density function between these points.

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