Sketch a possible graph of a function s that satisfies the following conditions:
MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity
Problem
Sketch a possible graph of a function s that satisfies the following conditions:
(i) s is continuous on (−4,4) except at x = −1 and x = 3;
(ii) at x = −1, s has a removable discontinuity with common limit value 2 but s(−1) = 5;
(iii) at x = 3, s has an infinite discontinuity with limx→3−s(x)=+∞.
Label the two discontinuity points on the sketch and specify their types.