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Directions: Read carefully. Choose the best answers.
1. |
Given: functions f (x) and g(x) as shown at the right.
Which function has the greater average rate of change on the interval [-1,1] ?
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x |
g(x) |
-2 |
1.25 |
-1 |
2.5 |
0 |
5 |
1 |
10 |
2 |
20 |
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2. |
Given: functions f (x) and g(x) as shown at the right.
Which function has the larger x-intercept?
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x |
g(x) |
-1 |
4 |
0 |
2 |
1 |
0 |
2 |
-2 |
3 |
-4 |
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3. |
Given: the graph shown at the right and
g (x) = 2 | x | - 1.
In how many places will these two graphs intersect?
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Choose:
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4. |
Given: f (x) = ex and g(x) = x + 2
Find the value(s) of x (to the nearest hundredth) where
f (x) = g(x).
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Choose:
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5. |
Three boats are traveling according to the following representations. Look at each of the representations to determine the speed of each boat.
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Boat A: y = 30x
where x = time (hours) and
y = distance (miles) |
Boat B
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Time (hrs)
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Distance (miles) |
2 |
70 |
4 |
140 |
6 |
210 |
10 |
350 |
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List the boats, in order, from fastest to slowest:
Choose:
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6.
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Which of the following functions has a minimum value that is less than the one shown in the graph at the right?
Choose:
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7. |
Which of these characteristics are shared by all three functions?
(Check all that apply, and hit SUBMIT!) |
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8.
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Given functions p( x) and m( x) as shown below:
x |
-3 |
-2 |
-1 |
0 |
1 |
2 |
3 |
4 |
5 |
m(x) |
-7 |
0 |
5 |
8 |
9 |
8 |
5 |
0 |
-7 |
Which of the following statements regarding these functions is TRUE?
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Choose:
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9. |
Which of the following statements is TRUE regarding functions f ( x) and
g( x) shown at the right?
Choose:
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10. |
Which of the following functions has the greatest rate of change over the interval [-1, 1]?
Choose:
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