Checking the discontinuity at point -4 from the left f(-4) = 4 from the right f(-4) = (-4+2)² = (-2)² = 4 ∴ The function is continues at -4
Checking the discontinuity at point -2 from the left f(-2) = (-2+2)² = 0 from the right f(-2) = -(1/2)*(-2)+1 = 2 ∴ The function is jump discontinues at -2
Checking the discontinuity at point 4 from the left f(4) = -(1/2)*4+1 = -1 from the right f(4) = -1 but there no equality in the equation so, ∴ The function is discontinues at 4
The correct choice is the second point discontinuity at x = 4 and jump discontinuity at x = -2
