question_answer 7)

 

Answer:

For x < ?3, f(x) = |x| + 3, f(x) the sum of modulus function and constant function.        is continuous or x < ?3 and being a polynomial function for x > ?3, f is continuous.       At  x = ?3                                            = 6                         Also f(?3) = |?3| + 3       = 3 + 3 = 6       Since LHL = RHL = f(?3)        is continuous at x = ?3.       Now for x < 3 and x > 3, f(x) is a polynomial function.        is continuous except possible at x = 3.       At x = 3.                                                                                     = 20       Since LHL  RHL        is discontinuous at x = 3.