Assume the function f is differentiable over the interval (-infinity, infinity). classify the following statement as either true or false. if the statement if false, explain why. if f has exactly two critical values at x = a and x = b, where a < b, then there must exist exactly one point of inflection at x = c such that a < c < b. in other words, exactly one point of inflection must exist between any two critical values. select the correct choice below. a. the statement is true b. the statement is false. there can be multiple inflection points between two critical values c. the statement is false. no infection points can exist between two critical values. any potential inflection points will be either less than the smallest critical value or greater than the largest critical value d. the statement is false. inflection points always exist in pairs, so two inflection points must exist between the two critical values.