(i) Discuss the continuity of the function f(x)= x^2-3x        if x<2                                                                           2x+4            if x ≥ 2 on the open interval 0 < x < 2 and on the closed interval 0 ≤ x ≤ 2. (ii) An efficiency study of the morning shift at a factory indicates that an average worker arriving on the job at 7:00am will have assembled f(x)= x^3+6x^2+15x units x hours later. approximately how many units will the worker assemble between 8:00 and 8:15am?

(i) Discuss the continuity of the function f(x)= x^2-3x        if x<2

                                                                          2x+4            if x ≥ 2

on the open interval 0 < x < 2 and on the closed interval 0 ≤ x ≤ 2.

(ii) An efficiency study of the morning shift at a factory indicates that an average worker arriving on the job at 7:00am will have assembled f(x)= x^3+6x^2+15x units x hours later. approximately how many units will the worker assemble between 8:00 and 8:15am?