Which of the following functions is continuous for every value of x except x=0?

Which of the following is not continuous for all x

Which of the following functions are discontinuous?I) f(x) = x^2 + 1 when x < 0 and f(x) = x + 1 when x ≥ 0II) f(x) = x when x < 0, f(x) = 1 when x = 0, and f(x) = -x when x > 0III) f(x) = 2

Let f (x) be defined by: f (x) = 2x /（3 + x） , x ≤ −2 k(x − 2), −2 < x < 4 2x − 6, x ≥ 4 Which of the following values of k would make f (x) continuous on R? a) k = 2 (b) k = 1 (c) There is no such value for k. (d) k = −1

(a) For which x-values does the function appear to be not continuous? (Select all that apply.)012345(b) For which x-values does the function appear to be not differentiable? (Select all that apply.)012345

Find each x-value at which f is discontinuous and for each x-value, determine whether f is continuous from the right, or from the left, or neither.f(x) =  x + 6      if x < 0 ex      if 0 ≤ x ≤ 1 6 − x      if x > 1x = (smaller value)continuous from the rightcontinuous from the left    neitherx = (larger value)continuous from the rightcontinuous from the left    neither