question_answer 18)

For what value of  is the function        continuous at x = 0?       What about continuity at x = 1?  

Answer:

f will be continuous at x = 0. If,             Taking              impossible.        for no value of  is continuous at x = 0        Now for              for x < 1 and x > 1, f(x) is a polynomial function and is continuous.       At x = 1             = 4(1) +| 1 = f(1)        f is continuous at x = 1 for all real .