Which statements correctly describe the graph of the function f(x) = x3 – 4x2 – 3x + 18? check all that apply.
there are three unique solutions to the function when y = 0.
the function has a double root.
as x increases from negative infinity to positive infinity, the y-values increase, decrease, and then increase again.
as x approaches negative infinity, y also approaches negative infinity.
the domain and range of the function are the set of real numbers.

This question awards 100 ! i really don’t want to fail i will also mark you !

14 pointslet x be the seats in the small van and y the seats in the large van. how many seats does the large van have? a company uses two vans to transport worker from a free parking lot to the workplace between 7: 00 and 9: 00a.m. one van has 9 more seats than the other. the smaller van makes two trips every morning while the larger one makes only one trip. the two vans can transport 69 people, maximum.how many seats does the larger van have?

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."