Hi I need help with this 4 questions:

1.

The functionf (x) = ex(x - 3) has a critical point at X= (Enter a number for your answer.)The function |2x - 10| has a singular point at x= . (Enter a number for your answer.)Suppose the second derivative of a function f(x) is f \" (x) = 2x 1. Suppose x = 1 is a critical point off. Using the Second Derivative Test, we know x = 1 is 0 an absolute minimum 0 a local maximum 0 a local minimum 0 an absolute maximum Let g(x) be a function with the following properties: g(2) = 5, g'(2) = 12, 8"(2) = 8. lff(x) = x3 g(x), then which of the following is always TRUE? 0 f(2) is an absolute maximum 0 f(2) is an absolute minimum 0 f(2) is a local maximum 0 f(2) is a singular point 0 f(2) is a local minimum