A function is drawn so that it is continuous on and passes through and

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

A function pp is drawn so that it is continuous on (−2,5)(-2,5) and passes through (−2,3)(-2,3) and (5,7)(5,7). The right-hand limit at x=−2x=-2 equals 33 and the left-hand limit at x=5x=5 equals 77. State, with reason, whether pp is continuous on the closed interval [−2,5][-2,5].

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