For each of the discontinuous functions below, state the type of discontinuity, and give your rea- soning. (a) f(x)= 2² - 2x + 1 x-1 if (b)g(x) = { 2x 2²+1 if (c)h(x) = = 2x +3 2-2 Show that each function below is continuous for all real numbers. +√ if x>4 (a) f(x)= (b)g(x) = if x ≤ 4 { 2² + = 4x + 2 x < 0 x ≥ 0 = sin(x) if < if x = V II > ARARAR