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2-143.

​Review the three conditions of continuity. Then, examine the graph below and determine at which values of the function is not continuous. Explain which condition the function fails at each discontinuity. 

The three conditions of continuity are: 


First quadrant with gray dashed vertical line at, x = 3, & 3 curves, left curve, coming through (0, comma 4), turning up at about (0.5, comma 3.75), turning down at about (1.75, comma 4.75), continuing to negative infinity left of dashed line, center curve, coming from infinity right of dashed line, opening down & ending at closed point (4, comma 2), right curve, starting at closed point (4, comma 1), opening up, passing through the point (6, comma 3).

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