College Algebra Test 2Spring 2011

Each of the multiple choice problems is worth 3 points. Name: ______

For problems 2-5 use the quadratic function

  1. Find the vertex.
  1. This parabola opens to the
  2. right
  3. left
  4. up
  5. down
  1. The interval over which this function is increasing is
  1. The range of this function is
  2. )
  1. Which of the following is true about this function?
  2. Has a maximum of .
  3. Has a minimum of
  4. Has a maximum of
  1. Find a in the equation of a parabola whose graph satisfies the given conditions: vertex (-3,4) and passing through the point (-1,-4).

For problems 7-8 use this information: A toy company that produces baby dolls has daily production costs of where C is the total cost in dollars and x is the number of baby dolls produced.

  1. How many dolls can be produced each day in order to keep the costs to a minimum?
  2. 125
  3. 150
  4. 175
  5. 200
  1. What would be the minimum cost?
  2. $ 150
  3. $ 325
  4. $ 875
  5. $ 1500

For problems 9-12 use the polynomial P

  1. The degree of this polynomial is
  2. 5
  3. 14
  4. 6
  5. 12
  1. The right-hand and the left-hand behavior of the graph of the polynomial is
  1. Falls to left, and falls to right
  2. Falls to left, and rises to right
  3. Rises to left, and falls to right
  4. Rises to left, and rises to right
  1. What is the maximum number ofzeros this polynomial could have?
  2. Exactly 6
  3. At least 6
  4. At most 6
  5. It has no zeros at all
  1. What is the maximum number of turning points this polynomial could have?
  2. 6
  3. 3
  4. 4
  5. 5
  1. Which of the following is the graph of this polynomial?

(a) (b)(c)(d)

  1. The exact number of real zeros and complex zeros of this polynomial are, respectively
  2. 6 and 0
  3. 4 and 2
  4. 2 and 4
  5. 0 and6
  1. Which one is not a property of graphs of polynomial of degree n?
  2. It has no sharp corners.
  3. It is continuous for all real numbers
  4. It has at most n real zeros.
  5. It has at most n turning points.
  1. A turning point of correct to decimal places is
  1. The exact zeros of the polynomial are
  2. , , 1
  3. , 1
  4. ,
  5. It has no zeros

For problems 17-22 use the rationalfunction .

  1. The vertical asymptote(s) is (are):
  2. Has no vertical asymptotes
  1. The horizontal asymptote is:
  1. b. c) d.
  1. The domain of this function is
  2. U
  3. U(
  4. UU
  1. The x-intercept(s) of this function are
  2. and
  3. and
  4. and
  5. , 0) and
  1. The y-intercept(s) of this function is (are)
  2. )
  1. Which of the following graphs is that of this function?

(a) (b) (c) (d)

  1. Suppose the graph shown below is the graph of the polynomial . Which of the following is true about a andn?

a) a > 0 and n is even.

b) a < 0 and n is even.

c) a > 0 and n is odd.

d) a < 0 and n is odd.

*************End of Multiple Choice*****************

  1. Write the equation of a polynomial of least degree with integer coefficients that has thezeros .