Questions

1) Select the BEST choice that completes the following statements. The graph of a quadratic function with a minimum value opens __________. The graph of a quadratic function with a maximum value opens __________.

a.) downward, downward

b.) upward, upward

c.) downward, upward

d.) upward, downward

2) For the given quadratic function shown in the graph, the parabola has what type of vertex and what is the axis of symmetry?

a.) minimum, x-axis

b.) minimum, y-axis

c.) maximum, x-axis

d.) maximum, y-axis

3) Complete the table of values for the given function and graph the function. Connect the points using a curve. (a) What is the ordered pair of the vertex? (b) Is the parabola opening upward or downward?

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4) Graph the given quadratic function on graph paper, and then determine which parabola matches the function. State the letter of the correct graph.

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5) Graph the given quadratic function on graph paper, and then determine which parabola matches the function. State the letter of the correct graph.

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6) Compare Graphs A and B and their functions. Graph B has been translated vertically how many units and in what direction?

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7) The function shown below is a transformation of Graph A above. The parabola is stretched wide because the coefficient of x-square is 1/2. Based on the direction of the opening of the graph and the vertical translation, which function matches the graph? State the letter of the correct answer.

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8) Compare Graphs A and B and their functions. Graph B has been translated (a) vertically how many units and in what direction and (b) horizontally how many units and in what direction?

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9) The values in the given table represent a relationship between “x” and “y”. Which function represents this relationship? It would be helpful to graph the points to be sure of the answer. State the letter of the correct answer.

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10) Solve for “x”. State the letter of the correct answer.

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11) Solve for “x”. State the letter of the correct answer.

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12) Solve for "x". State the letter of the correct answer.

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13) Solve for “x”. State the letter of the correct answer

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14) Solve for “x”.

a.) x = 1, x = 9

b.) x = –1. x = 9

c.) x = 9, x = –9

d.) x = 1, x = –1

15) An amusement park ride, the Demon Drop, includes a descent of 99 feet. Use the given equation to approximate the time (seconds) that it takes the dropped object to fall a distance of 99 feet. Select the closest answer.

a.) 6.2 seconds

b.) 2.5 seconds

c.) 0.6 seconds

d.) 5.0 seconds

16) Complete the table by determining the y-values that correspond to the given x-values. Based on the values displayed in the table, as x increases, y varies ________ to x.

a.) directly

b.) indirectly

17) Refer to the equation and table shown below to complete the table, solving for the y-values that correspond to the given x-values. Based on the values displayed in the table, as x increases, y varies ________ to x.

a.) directly

b.) indirectly

18) Which graph could represent (a) “Direct Variation” and which graph could represent (b) “Indirect Variation? For each question, state the letter of the correct graph

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19) Which equation shows that as the time increases, the rate will decrease, and the distance remains constant? (inverse variation)

a.) rt = 60

b.) r = 60t

c.) t = 60r

d.) t = r / 60

20) Which set of numbers shows that y varies directly to x? (y = kx)

a.) (1, 1), (2, 4), (3, 9), (4, 16)

b.) 1, 16), (2, 8), (4, 4), (8, 2)

c.) (1, 4), (2, 8), (3, 12), (4, 16)

d.) (1, 2), (2, 4), (3, 8), (4, 16)

21) Select the BEST choice that completes the following sentences about exponential functions. When the value of the variable exponent increases and the value of the function increases, then exponential ________ occurs; but, if the value of the function decreases as the value of the variable exponent increases, then exponential ________ occurs.

a.) growth, growth

b.) growth, decay

c.) decay, decay

d.) decay, growth

22) What type of exponential function is shown in the graph?

a.) Exponential growth

b.) Exponential decay

23) What type of exponential function is shown in the graph?

a.) Exponential growth

b.) Exponential decay

24) Complete the table of values for the given function. Graph the ordered pairs connecting the points with a smooth curve. List the ordered pairs, and then state whether the exponential function shows exponential growth or exponential decay.

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25) Graph the given exponential function on graph paper, and then determine which graph matches the function. State the letter of the correct graph.

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26) Sally deposited $100 into an account that earns 6% interest compounded annually. The balance "A", after "t" years, is given by the function below. How much money will Sally have in her account in 5 years? Round to the nearest cent.

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27) Jim takes 400 milligrams of aspirin. The amount of aspirin in his bloodstream after "t" hours is given by the exponential function shown below. In how many hours will the amount of aspirin in Jim’s bloodstream fall below 50 milligrams? Is the equation an example of exponential growth or exponential decay?

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28) In the given figure, which TWO statements are true about the graphs. State the LETTERS of the true statements.

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29) What is the value of "r"?

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30) What is the value of "r"?

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31) What is the value of "r"?

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32) In the cube shown below, the volume is 3375 cubic inches. What is the length of one edge?

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33) A graph and its corresponding table of values are shown below. The graph illustrates a cubic function (raised to the third power). Which function matches the relationship of “x” and “y”? State the letter of the correct answer.

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