am5525q
dav_r_
am5525.docxQUESTION 1
· Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function. ƒ(x) = 4x2 - 5x + 4
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· Falls to the left, rises to the right. |
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· Falls to the left, falls to the right. |
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· Rises to the left, rises to the right. |
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· Rises to the left, falls to the right. |
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· Falls to the left. |
QUESTION 2
· Describe the right-hand and the left-hand behavior of the graph of t(x) = 4x5 - 7x3 - 13
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· Because the degree is odd and the leading coefficient is positive, the graph falls to the left and rises to the right. |
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· Because the degree is odd and the leading coefficient is positive, the graph rises to the left and rises to the right. |
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· Because the degree is odd and the leading coefficient is positive, the graph falls to the left and falls to the right. |
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· Because the degree is odd and the leading coefficient is positive, the graph rises to the left and falls to the right. |
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· Because the degree is even and the leading coefficient is positive, the graph rises to the left and rises to the right. |
QUESTION 3
· Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function. ƒ(x) = 3 - 5x + 3x2 - 5x3
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· Falls to the left, rises to the right. |
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· Falls to the left, falls to the right. |
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· Rises to the left, rises to the right. |
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· Rises to the left, falls to the right. |
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· Falls to the left. |
QUESTION 4
· Select from the following which is the polynomial function that has the given zeroes. 2,-6
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· f(x) = x2 - 4x + 12 |
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· f(x) = x2 + 4x + 12 |
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· f(x) = -x2 -4x - 12 |
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· f(x) = -x2 + 4x - 12 |
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· f(x) = x2 + 4x - 12 |
QUESTION 5
· Select from the following which is the polynomial function that has the given zeroes. 0,-2,-4
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· f(x) = -x3 + 6x2 + 8x |
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· f(x) = x3 - 6x2 + 8x |
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· f(x) = x3 + 6x2 + 8x |
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· f(x) = x3 - 6x2 - 8x |
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· f(x) = x3 + 6x2 - 8x |
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QUESTION 6
· Sketch the graph of the function by finding the zeroes of the polynomial.
f(x) = 2x3 - 10x2 + 12x
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· 0,2,3 |
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· 0,2,-3 |
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· 0,-2,3 |
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· 0,2,3 |
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· 0,-2,-3 |
QUESTION 7
Select the graph of the function and determine the zeroes of the polynomial. f(x) = x2(x-6)
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0,6,-6 |
QUESTION 8
· Use the Remainder Theorem and Synthetic Division to find the function value. g(x) = 3x6 + 3x4 - 3x2 + 6, g(0)
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· 6 |
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· 3 |
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· -3 |
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· 8 |
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· 7 |
QUESTION 9
Use the Remainder Theorem and Synthetic Division to find the function value. f(x) = 3x3 - 7x + 3, f(5)
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-343 |
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343 |
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345 |
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340 |
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344 |
QUESTION 10
· Use the Remainder Theorem and Synthetic Division to find the function value. h(x) = x3 - 4x2 - 9x + 7, h(4)
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· -28 |
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· -27 |
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· -31 |
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· -25 |
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· -29 |
QUESTION 11
· Use synthetic division to divide: (3x3 - 24x2 + 45x - 54) ÷ (x-6)
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· 6x2 - 3x - 9, x ≠ 6 |
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· 6x2 -3x - 9, x ≠ 6 |
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· 3x2 - 6x + 9, x ≠ 6 |
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· 3x2 - 6x - 9, x ≠ 6 |
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· 3x2 + 6x + 9, x ≠ 6 |
QUESTION 12
· Use synthetic division to divide: (x3 - 27x + 54) ÷ (x - 3)
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· x2 + 3x - 18, x ≠ 3 |
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· x2 - 3x - 27, x ≠ 3 |
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· x2 + 9x + 18, x ≠ 3 |
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· x2 + 9x - 6, x ≠ 3 |
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· x2 + 6x + 9, x ≠ 3 |
QUESTION 13
· Use synthetic division to divide: (4x3 - 9x + 16x2 - 36) ÷ (x + 4)
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· 4x2 - 9, x ≠ -4 |
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· 4x2 + 9, x ≠ -4 |
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· -4x2 - 9, x ≠ -4 |
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· 4x3 - 9, x ≠ -4 |
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· 4x3 + 9, x ≠ -4 |
QUESTION 14
· Use synthetic division to divide:
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· 5x2 + 45x + 25, x ≠ 1/5 |
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· 16x2 + 80x + 20, x ≠ 1/5 |
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· 100x2 + 45x + 400, x ≠ 1/5 |
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· 20x2 + 180x + 400, x ≠ 1/5 |
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· 4x2 + 21x + 20, x ≠ 1/5 |
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QUESTION 15
· Find all of the zeroes of the function. (x - 3)(x + 9)3
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· -3,9 |
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· 3,9 |
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· -3,-9 |
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· -3,3,9 |
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· 3,-9 |
QUESTION 16
· Find all the rational zeroes of the function. x3 - 12x2 + 41x - 42
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· -2, -3, -7 |
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· 2, 3, 7 |
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· 2, -3, 7 |
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· -2, 3, 7 |
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· -2, 3, -7 |
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QUESTION 17
· Determine all real zeroes of f. f(x) = x3 + x2 - 25x - 25
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· -5,1,0 |
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· 5,0,-5 |
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· -5,-1,5 |
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· -5,0,0 |
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· 5,-1,0 |
QUESTION 18
· The height, h(x), of a punted rugby ball is given by where x is the horizontal distance in feet from the point where the ball is punted. How far, horizontally, is the ball from the kicker when it is at its highest point?
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· 28 feet |
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· 13 feet |
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· 18 feet |
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· 23 feet |
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· 16 feet |
QUESTION 19
· The profit P (in hundreds of dollars) that a company makes depends on the amount x (in hundreds of dollars) the company spends on advertising according to the model. P(x) = 230 + 40x - 0.5x2 What expenditure for advertising will yield a maximum profit?
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· 40 |
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· 0.5 |
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· 230 |
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· 20 |
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· 115 |
QUESTION 20
· The total revenue R earned per day (in dollars) from a pet-sitting service is given by R(p) = -10p2 + 130p where p is the price charged per pet (in dollars). Find the price that will yield a maximum revenue.
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· $7.5 |
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· $6.5 |
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· $8.5 |
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· $9.5 |
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· $10.5 |
