Hi I need help with these 4 questions

Consider the function x2 + d x -2 Which of the following statements is FALSE? When c = 6 and d = -1, the functionf has a jump discontinuity at x = -2. When c = 5 and d = 2, the functionf has a removable discontinuity at x = -2. When c = 2 and d = -1, the functionf has a jump discontinuity at x = -2. When c = 6 and d = 0, the functionf is continuous at x = -2. When c = 5 and d = -1, the functionf has a removable discontinuity at x = -2.Consider the function: 3x + 6 x1 Which of the following statements is TRUE? Of is differentiable at x = 1, and f is continuous but not differentiable at x = -1. Of is not continuous at x = - 1 and x = 1. Of is continuous but not differentiable at both x = -1 and x = 1. Of is differentiable at both x = -1 and x = 1. Of is differentiable at x = -1, and f is continuous but not differentiable at x = 1.Suppose f(x) = 2x2 + g(x), where g(1) = 3 and g' (1) = 2. Which of the following is the equation of the tangent line for f(x) at x = 1? Oy -5 =6(x - 1) Oy = 3x - 5 Oy = 6x + 1 Oy - 5 =4(x - 1) Oy - 1 = 4(x -5)Let c be a constant. Let g(x) be a function that is differentiable for all x with g'(1) = 1. The slope of the line tangent to the curve 5y2 = 2x3y + 2cg(x), at (1, 2) is