Long description: block6-fig2

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The graph shows a piecewise function that is constant for negative x-values and curves upward for positive x-values, exhibiting a jump discontinuity at x equals 0.

Alt text: The graph shows a piecewise function that is constant for negative x-values and curves upward for positive x-values, exhibiting a jump discontinuity at x equals 0.

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  • The horizontal axis represents the variable \(x\), and the vertical axis represents the function \(f(x)\).
  • For all values of \(x\) less than \(0\), the graph is a horizontal line at the height of \(y=3\).
  • At \(x=0\), the function has a jump discontinuity.
  • For all values of \(x\) greater than or equal to \(0\), the graph is a curve that passes through the origin \((0, 0)\) and increases sharply as \(x\) increases, resembling a portion of a parabola or power function.

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