
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] ?

f (x) = 3x^{3}  2x^{2} + 4 
x 
g(x) 
2 
1.25 
1 
2.5 
0 
5 
1 
10 
2 
20 




2. 
Given: functions f (x) and g(x) as shown at the right.
Which function has the larger xintercept?

x 
g(x) 
1 
4 
0 
2 
1 
0 
2 
2 
3 
4 




3. 
Given: the graph shown at the right and
g (x) = 2  x   1.
In how many places will these two graphs intersect?



Choose:


4. 
Given: f (x) = e^{x} and g(x) = x + 2
Find the value(s) of x (to the nearest hundredth) where
f (x) = g(x).



Choose:


5. 
Three boats are traveling according to the following representations. Look at each of the representations to determine the speed of each boat.

Boat A: y = 30x
where x = time (hours) and
y = distance (miles) 
Boat B

Time (hrs)

Distance (miles) 
2 
70 
4 
140 
6 
210 
10 
350 


List the boats, in order, from fastest to slowest:
Choose:


6.

Which of the following functions has a minimum value that is less than the one shown in the graph at the right?
Choose:



7. 
Which of these characteristics are shared by all three functions?
(Check all that apply, and hit SUBMIT!) 


8.

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?



Choose:


9. 
Which of the following statements is TRUE regarding functions f ( x) and
g( x) shown at the right?
Choose:



10. 
Which of the following functions has the greatest rate of change over the interval [1, 1]?
Choose:


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