Please answer every single question with step by step solutions for all.

1 For what values of x is the curvey = x +x - 2x - 1 concave upwards? svosvisb broosa 2 Find all values of x for which the function f(x) = (x - 3)' is concave downwards. 3 Prove that the curve y = 8 - 6x - 4x- is always concave downwards. 4 Show that the curve y = x is always concave upwards. 5 Find the domain over which the curve f(x) =x' - 7x + 1 is concave downwards. 6 Find any points of inflection on the curve g(x) = x' - 3x- + 2x+9. 7 Find the points of inflection on the curve y = x* - 6x- + 12x - 24. 8 Find the stationary point on the curve y = x - 2 and show that it is a point of inflection. 9 Determine whether there are any points of inflection on the curve: a y=x by=x cy=x dy=x e y=x2 10 Sketch a curve that is always concave up. 11 Sketch a curve where f"(x) 1 and f"(x) > 0 for x