a) identify the points in which the function f is not continuous;

b) prove that the function is not continuous at the points you have found in a);

c) at which point(s) does the function have an irremovable dis- continuity, and at which point(s) is the discontinuity removable?

d) redefine the function so that the removable discontinuity is removed.

e) is the redefined function in part d) differentiable? Justify your answer.

Problem 1. A function is defined by 23 + 2, if x > 0 f(x) = 4, if x = 0 2x+2, if -1