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**asweet1** 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) p(x) has a y intercept.

(b) If n is odd then p(x) has at least one x-intercept

(c) If n is 2, then p (x) is always concave up.

(d) p(x) is continuous at all real numbers (i.e. on the interval (negative infinity, positive infinity)

My teacher has not taught us anything so I am completely lost. However I did try to figure and this is how far I got:

(a) y= x^2+2

y=2