Quiz1 Chapter 3 Sections 1- 3

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 Match the correct graph with the function: f(x) = 2(x - 3)2 - 1.

a      b       c       d

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2)Match the correct equation with the parabola. 

    (a) y = -1/4 (x - 4)2 - 1       (b) y = -1/4 (x + 4) - 1

 

(c) y = -(x - 1)2 + 4       (d) y = -1(x - 1)2 - 4     (e) None of these

3)Write in the form y = a(x - h)2 + k:    y = 2x2 + 16x + 9.

  (a) y = 2(x + 4)2 - 7 (b) y = 2(x + 2)2 + 5

  (c) y = 2(x + 4)2 - 23   (d) y = 2(x + 8)2 + 73

(e) None of these

4)Find the vertex of the parabola: y = 4x2+ 8x + 1.

(a) (-2, 1) (b) (1, 13) (c) (0, 1) d) (-1, -3) (e) None of these

5)Find the minimum point on the graph of y = 2x2 + 8x + 9.

(a) (-2, 1) (b) (2, 33) (c) (2, 17)   (d) (-2, -17) (e) None of these 

6)Find the number of units that produce a maximum revenue, R = 400x - 0.01x2, where R is the total revenue in dollars and x is the number of units sold.

     (a)    15,000       (b) 32,000       (c) 4500        (d) 20,000       (e) None of these

7) Use a graphing utility to determine the minimum point on the graph of  f(x) = x2+ 10x + 21

Type here in format  x,y    

8) Determine the left and right behavior of the graph: y = 4x2 - 2x + 1.

  (a) Up to the left, down to the right

  (b) Down to the left, up to the right

  (c) Up to the left, up to the right

 (d) Down to the left, down to the right

    (e) None of these

9) Find a polynomial function with zeros: 1, 0, -3.  

(a) f(x) = x(x - 3)3(x + 1)   (b) f(x) = x2(x - 1)(x + 3)

(c) f(x) = x(x - 3)(x - 1) (d) f(x) = (x - 1)(x + 3)

 

10)Use the Intermediate Value Theorem to estimate the real zero in the interval [0, 1]: f(x) = 3x3+ 7x - 9.

(a) Between 0.2 and 0.3 (b) Between 0.5 and 0.7

(c) Between 0.7 and 0.8 (d) Between 0.9 and 1.0

11)Divide using synthetic division: (x3- x - 6) / (x - 2).   Hint :leave space for squared term Hint 2  use program on calculator if you have programmmed it into the calculator.

(a) x2 - x - 3 (b) x2 + 2x + 3

    (c) x2 + x + 2 +  2/(x-2)   (d) x2 + 2x + 5

12) Use synthetic division to determine which of the following is a solution of the equation: Hint use program on calculator if you have programmmed it into the calculator.

6x4- 11x3- 10x2 + 19x - 6 = 0.

(a) 2 (b) 3 (c) -2 (d) -3 (e) None of these

 13) List all the possible rational zeros of the function:

     f(x) = 4x4 + x3 + 5x2 + 2.

 (a) 1, 2,4,-1,-2,-4 (b) 1/3,-1/3, 2/3,-2/3, 1,-1,2,- 2      (c) 1/3,-1/3, 2/3,-2/3, 1/2,-1/2

  (d) 3/2, -3/2, 2/3, -2/3,4, -4,2, -2  (e) 1/4, -1/4,1/2, -1/2, 1, -1, 2, -2

14)  Find all of the real solutions: x3- 7x + 6 = 0.   Use calculator to help, of course.

(a) -3, 1, 2 (b) -2, -1, 3 (c) -6, -1, 1

(d) -1, 1, 6 (e) None of these

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