Apolynomial function has a root of -7 with multiplicity 2, a root of -1 with multiplicity 1, a root 2 of multiplicity 4. and a root of 4 with multiplicity 1. if the function has a positive leading coefficient and is of even degree, which statement about the graph is true?

a. the graph of the function is positive on (2,4)
b. the graph of the function is negative on (4, ∞)
c. the graph of the function is positive on (-∞, -7)
d. the graph of the function is negative on (-7, -1)

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."