The solutions of a)-j)

O 1 -6 -3 -4 -3 -2 -1 0 1 2 3 5 UNIVERSITY OF BRITISH COLUMBIA OKANAGAN MATH 116 - Calculus I (a) Find the points of discontinuity. Verify that each point does not satisfy the definition of continuity. (b) Determine if f is continuous on the following intervals: (-6, -5), [3,4], and [4, 6]. (c) Determine if f is differentiable at the following points: -6,0, 4, and 6. (d) Find f'(-1) and f'(3). (e) Does f'(1) exist? Justify your answer. (f) Give three points where the function is continuous but not differentiable. (g) Which is bigger, f'(0.5) or f'(2.5)? (h) Which is bigger, f'(1.5) or f' (3.5)? (i) (True or False). On the interval [5, 6] the graph of the derivative of f is above the r-axis. (i) Sketch the graph of the derivative of f on the interval [-1, 0]