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Sketch a graph of a single function that has these properties. -f(x) = 4x + 8


A) Sketch a graph of a single function that has these properties. -f(x) = 4x + 8 A) y intercept: 8; x intercept: -2 B) y intercept: -2; x intercept: 8 C) y intercept: 8; x intercept: -2 D) y intercept: 8; x intercept: 2 y intercept: 8; x intercept: -2
B) Sketch a graph of a single function that has these properties. -f(x) = 4x + 8 A) y intercept: 8; x intercept: -2 B) y intercept: -2; x intercept: 8 C) y intercept: 8; x intercept: -2 D) y intercept: 8; x intercept: 2 y intercept: -2; x intercept: 8
C) Sketch a graph of a single function that has these properties. -f(x) = 4x + 8 A) y intercept: 8; x intercept: -2 B) y intercept: -2; x intercept: 8 C) y intercept: 8; x intercept: -2 D) y intercept: 8; x intercept: 2 y intercept: 8; x intercept: -2
D) Sketch a graph of a single function that has these properties. -f(x) = 4x + 8 A) y intercept: 8; x intercept: -2 B) y intercept: -2; x intercept: 8 C) y intercept: 8; x intercept: -2 D) y intercept: 8; x intercept: 2 y intercept: 8; x intercept: 2

E) B) and D)
F) C) and D)

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Solve the problem. -The average manufacturing cost per unit (in hundreds of dollars) for producing x units of a product is given by: Solve the problem. -The average manufacturing cost per unit (in hundreds of dollars) for producing x units of a product is given by: At what production level will the average cost per unit be maximum? A) 652 units B) 12 units C) 5 units D) 1 unit At what production level will the average cost per unit be maximum?


A) 652 units
B) 12 units
C) 5 units
D) 1 unit

E) A) and B)
F) All of the above

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Sketch a graph of the function. -Sketch a graph of the function. - A) B) C) D)


A) Sketch a graph of the function. - A) B) C) D)
B) Sketch a graph of the function. - A) B) C) D)
C) Sketch a graph of the function. - A) B) C) D)
D) Sketch a graph of the function. - A) B) C) D)

E) None of the above
F) C) and D)

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Provide an appropriate response. -Find the critical values and determine the intervals where f(x) is decreasing for f(x) = 3(x - 4) 2/3 + 6.


A) Provide an appropriate response. -Find the critical values and determine the intervals where f(x) is decreasing for f(x) = 3(x - 4) 2/3 + 6. A) B) C) D)
B) Provide an appropriate response. -Find the critical values and determine the intervals where f(x) is decreasing for f(x) = 3(x - 4) 2/3 + 6. A) B) C) D)
C) Provide an appropriate response. -Find the critical values and determine the intervals where f(x) is decreasing for f(x) = 3(x - 4) 2/3 + 6. A) B) C) D)
D) Provide an appropriate response. -Find the critical values and determine the intervals where f(x) is decreasing for f(x) = 3(x - 4) 2/3 + 6. A) B) C) D)

E) B) and C)
F) All of the above

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Provide an appropriate response. -The critical values of Provide an appropriate response. -The critical values of are x = -2 and x = 2. Use the first derivative test to determine which of the critical values correspond to a local maximum. A) x = - 2 B) x = 2 C) x = 0 and x = 2 D) x = 2 and x = - 2 are x = -2 and x = 2. Use the first derivative test to determine which of the critical values correspond to a local maximum.


A) x = - 2
B) x = 2
C) x = 0 and x = 2
D) x = 2 and x = - 2

E) All of the above
F) B) and D)

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Sketch a graph of a single function that has these properties. -Sketch a graph of a single function that has these properties. - A) y intercept: 8; x intercept: -64 B) y intercept: -64; x intercept: 8 C) y intercept: 8; x intercept: -64 D) y intercept: 8; x intercept: -64


A) Sketch a graph of a single function that has these properties. - A) y intercept: 8; x intercept: -64 B) y intercept: -64; x intercept: 8 C) y intercept: 8; x intercept: -64 D) y intercept: 8; x intercept: -64 y intercept: 8; x intercept: -64
B) Sketch a graph of a single function that has these properties. - A) y intercept: 8; x intercept: -64 B) y intercept: -64; x intercept: 8 C) y intercept: 8; x intercept: -64 D) y intercept: 8; x intercept: -64 y intercept: -64; x intercept: 8
C) Sketch a graph of a single function that has these properties. - A) y intercept: 8; x intercept: -64 B) y intercept: -64; x intercept: 8 C) y intercept: 8; x intercept: -64 D) y intercept: 8; x intercept: -64 y intercept: 8; x intercept: -64
D) Sketch a graph of a single function that has these properties. - A) y intercept: 8; x intercept: -64 B) y intercept: -64; x intercept: 8 C) y intercept: 8; x intercept: -64 D) y intercept: 8; x intercept: -64 y intercept: 8; x intercept: -64

E) A) and B)
F) All of the above

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Find the limit, if it exists. -Find Find the limit, if it exists. -Find A) B) 0 C) D) 1


A) Find the limit, if it exists. -Find A) B) 0 C) D) 1
B) 0
C) Find the limit, if it exists. -Find A) B) 0 C) D) 1
D) 1

E) None of the above
F) A) and D)

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Provide an appropriate response. -Find the relative extrema of the function. List your answer(s) in terms of ordered pair(s) . Provide an appropriate response. -Find the relative extrema of the function. List your answer(s) in terms of ordered pair(s) . A) B) C) Relative minimum: (0, 5) D) Relative maximum: (0, 5)


A) Provide an appropriate response. -Find the relative extrema of the function. List your answer(s) in terms of ordered pair(s) . A) B) C) Relative minimum: (0, 5) D) Relative maximum: (0, 5)
B) Provide an appropriate response. -Find the relative extrema of the function. List your answer(s) in terms of ordered pair(s) . A) B) C) Relative minimum: (0, 5) D) Relative maximum: (0, 5)
C) Relative minimum: (0, 5)
D) Relative maximum: (0, 5)

E) A) and B)
F) All of the above

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Find the limit, if it exists. -Find: Find the limit, if it exists. -Find: A) B) C) D)


A) Find the limit, if it exists. -Find: A) B) C) D)
B) Find the limit, if it exists. -Find: A) B) C) D)
C) Find the limit, if it exists. -Find: A) B) C) D)
D) Find the limit, if it exists. -Find: A) B) C) D)

E) A) and C)
F) None of the above

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Provide an appropriate response. -Write the sign chart that corresponds to the following graph of f(x): Provide an appropriate response. -Write the sign chart that corresponds to the following graph of f(x):

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Find the intervals where the function has the indicated concavity. Give the x coordinates of inflection points. -Concave upward Find the intervals where the function has the indicated concavity. Give the x coordinates of inflection points. -Concave upward A) B) C) D)


A) Find the intervals where the function has the indicated concavity. Give the x coordinates of inflection points. -Concave upward A) B) C) D)
B) Find the intervals where the function has the indicated concavity. Give the x coordinates of inflection points. -Concave upward A) B) C) D)
C) Find the intervals where the function has the indicated concavity. Give the x coordinates of inflection points. -Concave upward A) B) C) D)
D) Find the intervals where the function has the indicated concavity. Give the x coordinates of inflection points. -Concave upward A) B) C) D)

E) A) and D)
F) A) and C)

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Solve the problem. -A company wishes to manufacture a box with a volume of 40 cubic feet that is open on top and is twice as long as it is wide. Find the width of the box that can be produced using the minimum amount of material. Round to The nearest tenth, if necessary.


A) 7.2 ft
B) 3.6 ft
C) 3.2 ft
D) 6.4 ft

E) B) and C)
F) A) and D)

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Solve the problem. -A computer software company sells 20,000 copies of a certain computer game each year. It costs the company $1.00 to store each copy of the game for one year. Each time it must produce additional copies, it costs the Company $625 to set up production. How many copies of the game should the company produce during each Production run in order to minimize its total storage and set-up costs?


A) 5000 copies in 4 production runs
B) 20,000 copies in 1 production run
C) 10,000 copies in 2 production runs
D) 4000 copies in 5 production runs

E) B) and D)
F) None of the above

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Sketch a graph of the function. -Sketch a graph of the function. - A) B) C) D)


A) Sketch a graph of the function. - A) B) C) D)
B) Sketch a graph of the function. - A) B) C) D)
C) Sketch a graph of the function. - A) B) C) D)
D) Sketch a graph of the function. - A) B) C) D)

E) None of the above
F) B) and D)

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Solve the problem. -A private shipping company will accept a box for domestic shipment only if the sum of its length and girth (distance around) does not exceed 102 in. What dimensions will give a box with a square end the largest Possible volume? Solve the problem. -A private shipping company will accept a box for domestic shipment only if the sum of its length and girth (distance around) does not exceed 102 in. What dimensions will give a box with a square end the largest Possible volume? A) 17 in. × 34 in. × 34 in. B) 34 in. × 34 in. × 34 in. C) 17 in. × 17 in. × 34 in. D) 17 in. × 17 in. × 85 in.


A) 17 in. × 34 in. × 34 in.
B) 34 in. × 34 in. × 34 in.
C) 17 in. × 17 in. × 34 in.
D) 17 in. × 17 in. × 85 in.

E) B) and C)
F) A) and D)

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Provide an appropriate response. -Provide an appropriate response. - A) B) C) D)


A) Provide an appropriate response. - A) B) C) D)
B) Provide an appropriate response. - A) B) C) D)
C) Provide an appropriate response. - A) B) C) D)
D) Provide an appropriate response. - A) B) C) D)

E) B) and D)
F) C) and D)

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Find the intervals where f''(x) < 0 ir f''(x) > 0 as indicated. -Find the intervals where f''(x) < 0 ir f''(x) > 0 as indicated. - A) (-5, 2) B) C) (-5, 5) D)


A) (-5, 2)
B) Find the intervals where f''(x) < 0 ir f''(x) > 0 as indicated. - A) (-5, 2) B) C) (-5, 5) D)
C) (-5, 5)
D) Find the intervals where f''(x) < 0 ir f''(x) > 0 as indicated. - A) (-5, 2) B) C) (-5, 5) D)

E) A) and B)
F) A) and C)

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Provide an appropriate response. -The total cost, in dollars, of producing x cell phones is approximated by the function Provide an appropriate response. -The total cost, in dollars, of producing x cell phones is approximated by the function Find the minimum average cost. A) The minimum average cost is $75 when x = 875 cell phones. B) The minimum average cost is $875 when x = 75 cell phones. C) The minimum average cost is $74 when x = 20 cell phones. D) The minimum average cost is $10 when x = 100 cell phones. Find the minimum average cost.


A) The minimum average cost is $75 when x = 875 cell phones.
B) The minimum average cost is $875 when x = 75 cell phones.
C) The minimum average cost is $74 when x = 20 cell phones.
D) The minimum average cost is $10 when x = 100 cell phones.

E) A) and D)
F) None of the above

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Provide an appropriate response. -Sketch the graph of Provide an appropriate response. -Sketch the graph of Include sketch of all asymptotes. Include sketch of all asymptotes.

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Provide an appropriate response. -Identify the intervals where f‛(x) > 0. Provide an appropriate response. -Identify the intervals where f‛(x) > 0.

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