this question specifically this one for calculus 1 (math 1401): " the function f(x) = x^3 x 1. Verify that the IVT (Intermediate Value Theorem" can be applied to the function f(x) on the interval [1,2] and use it to show that there is a value c in the interval where f (x) = 1/2. Verify that the Mean Value Theorem can be applied to the function f(x) on the interval [1, 2] and use it to find the value(s) of c that satisfy the theorem. Verify that Rolle's Theorem can be applied to the function f(x) on the interval [2, 0] and use it to find the value(s) of c that satisfy the theorem