Let p(x) be a polynomial function of degree n. Determine if each of the following statements is TRUE or FALSE and justify your answer in writing.
NOTE: If you can find a counterexample, the counterexample is enough to justify saying the statement is FALSE.
(a) The domain of p(x) is all real numbers.
(b) The range of p(x) is all real numbers.
(c) p(x) has exactly n x-intercepts (i.e. exactly n roots)
My answers: Just to let you know we just started this class and the professor has taught us nothing so i have no clue what I am doing.
(a) n has all real numbers
(b) n has all real numbers
(c) x=n and x=p