Chapter Three Jeopardy Review

							        Powerpoint Jeopardy
Quadratic &    Rational     Polynomial &    Real Zeros of a   Complex Zeros
Polynomial    Functions &      Rational      Polynomial
Functions &     Models       Inequalities     Function
  Models

   10            10             10              10                10

   20            20             20              20                20

   30            30             30              30                30

   40            40             40              40                40

   50            50             50              50                50
Is this function a polynomial function?
If it is, give its degree. If it is not, tell why
not.

                   x 25
          f ( x)     3
                    x
Find the coordinates of the vertex of the
parabola.

      f ( x)  x  8 x  25
                 2
For the polynomial, list each real zero
and its multiplicity. Determine
whether the graph crosses or touches
the x-axis at each x-intercept.

                       2
                    1 2
       f ( x)   x   ( x  5) 5

                    2
Construct a polynomial where the
graph crosses the x-axis at -2 and 3,
touches the x-axis at 5, crosses the y-
axis at -5 and is below the x-axis
between -2 and 3.
The manufacturer of a CD player has
found the revenue R ( in dollars) is
R  4 p 2  1810 p

when the unit price p dollars. If the
manufacturer sets the price p to
maximize revenue, what is the
maximum revenue to the nearest
dollar?
Find the domain of

        x  x  20
         2
R( x)  2
       x  14 x  48
What is the equation of the vertical
asymptote(s) of the function

              x 5
     f ( x)  2
             x 9
What is the equation of the oblique
asymptote of the function

           x  7x  9
               2
  f ( x) 
             x7
Find the vertical asymptote(s) and/or
hole(s) for
          x  x6
            2
  R( x)  2
         x  x  12
Graph the function

              x
   f ( x)  2
           x  49
Solve the inequality

    x  3x  28x  0
     3     2
Solve the inequality. Write your
answer in interval notation.

   1 x2
         2
   x x 1
The revenue achieved by selling x
graphing calculators is figured to be
x (29 – 0.2x) dollars. The cost of each
calculator is $17. How many graphing
calculators must be sold to make a profit
(revenue – cost) of at least $167.20?
Solve the given rational inequality

    x2 5
        1
     3  x
A rare species of insect was discovered in the
rain forest of Costa Rica. Environmentalists
transplant the insect into a protected area. The
population of the insect t months after being
transplanted is P(t )  45(1  0.6t )
                        (3  0.02t )
(a) What was the population when t = 0?
(b) What will the population be after 10 years.
(c) What is the largest value the population
could reach?
Find the real solutions of the equation


   3x  x  3x  1  0
       3    2
Find the real solutions of the equation.


     x  7 x  15x  9  0
      3      2
Use the intermediate value theorem
to show that the polynomial has a
real zero in the interval [-1, 0].

     f ( x)  7 x  5 x  10 x  9
               3      2
Find the rational zeros of

f ( x)  x  2 x  5 x  6
           3       2


List any irrational zeros correct to two
decimal places.
Find the rational zeros of the polynomial

       f ( x)  x  2 x  9 x  18
                3     2




List any irrational zeros correct to two
decimal places
Given the complex polynomial f(x)
whose coefficients are real numbers,
find the remaining zeros of f.

Degree 3; zeros: 5, 2 – i
Find a third degree polynomial function
with real coefficients and with zeros 1
and 3 + i.
Find a third degree polynomial function
with real coefficients and with zeros – 2
and 3 + i.
For the polynomial P( x)  x 4  21x 2  100
one zero is -2i. Find all others.
Find the complex zeros of the
polynomial function
 f ( x)  x  8 x  16 x  8 x  17
          4     3      2