The graph of a piecewise function is graphed on the coordinate plane.The graph of a piecewise function is graphed on the coordinate plane. The first piece is a parabola opening upward with an open point at the vertex at left-parenthesis negative 5 comma 0 right-parenthesis. The parabola ends at closed point left-parenthesis negative 3 comma 4 right-parenthesis. There is also a closed point graphed at left parenthesis negative 5 comma 1 right parenthesis. Another piece of the function is a horizontal line at y equals 4 that goes from closed point left-parenthesis negative 3 comma 4 right-parenthesis to open point left-parenthesis 1 comma 4 right-parenthesis. The last piece is a root function that increases infinitely from the closed point left parenthesis 1 comma 5 right parenthesis.

Question

Question
Use the graph to answer the question.
Describe the discontinuity of the graphed function. Be sure to indicate the location of each discontinuity and identify the type of discontinuity.
(4 points)

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In one short detailed sentence

Answer 1

The function has a jump discontinuity at \( x = -3 \) where the piecewise function transitions from the parabola to the horizontal line, as the function value jumps from \( y = 4 \) at \( x = -3 \) to being undefined for \( x < -3 \).