The graphed function has a discontinuity at the point (-2, 2) because there is a hole in the graph, meaning the function doesn't have a value there. However, the function is continuous everywhere else, including at the isolated point (-2, 1).
A function consisting of two rays and an isolated point is graphed on a coordinate plane.A function consisting of two rays and an isolated point is graphed on a coordinate plane. The first ray increases from negative infinity to the point left parenthesis negative 1 comma 2.5 right parenthesis and includes the endpoint. The ray also has a hole at left parenthesis negative 2 comma 2 right parenthesis. A single point is graphed at left parenthesis negative 2 comma 1 right parenthesis. The second ray starts at an open point at left parenthesis negative 1 comma 3 right parenthesis and decreases to infinity.
Question
Use the graph to answer the question.
Describe the continuity or discontinuity of the graphed function in 2 sentences at 8th grade level
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