Q. 17 letf: r->r be an infinitely differentiable function such that for all a, b e r witha < b, -() b- a then (a) f must be a polynomial of degree less than or

Q. 17 Letf: R->R be an infinitely differentiable function such that for all a, b E R witha < b, -() b- a Then (A) f must be a polynomial of degree less than or equal to 2. (B) f must be a polynomial of degree greater than 2. (C) fis not a polynomial. (D) f must be a linear polynomial.