Please provide clear explainatuon for the these questions (especially the first one). Thank you

Let f(x) =ax' +bx- +ex+d, where a, b, c and d are constant real numbers, with a #0. How many critical points can f have? List all possible cases, and provide an example (with explanation) for each case.The function f() = if a 1 (Choose all that apply.) 0 =3 10 =2If an odd function f (E) has a local maximum value at =c , which of the following must be true? O f has a local minimum at z O f has a local maximum at 1 =- C. Of has a local minimum and maximum at c =- C . Of' ( c) = 0 Of'(c) - 0