(aqt73) to Challenge 4 seckin (54330)
This print-out should have 11 questions.
Multiple-choice questions may continue on
the next column or page nd all choices
before answering.
1. f (3) =
125
32
2. f (3) =
001 (part 1 of 4) 10.0 points
Between 1960 and 1990 the population of a
town increased at rate of 0.48% per year. The
population P is given by
63
16
3. f (3) =
127
32
P = 2521 (1.0048)t
4. f (3) =
1
129
32
where t = 0 corresponds to 1980.
Find the population of the town in
a. 1960;
5. f (3) = 4
006
002 (part 2 of 4) 10.0 points
b. 1970;
003 (part 3 of 4) 10.0 points
c. 1980;
10.0 points
The following picture displays the graphs
of f and g , where f (x) = abx and g (x) = cdx ,
and a > 0 , c > 0.
004 (part 4 of 4) 10.0 points
d. 1990;
005
10.0 points
The function f is an exponential of the form
f (x) = abx .
g:
The graph of f is shown below.
f:
Which, if any, the of following statements
are true?
A. a < c
B. b > d
C. b > 1
5
(1, )
8
25
(2, )
16
1. A and C only
2. B and C only
3. none of them
4. A only
5. A and B only
What is the value of f (3)?
6. B only
to (aqt73) Challenge 4 seckin (54330)
7. C only
3. None of these
8. all of them
4. y =
007 10.0 points
If a, b are the solutions of the exponential
equation
3
4
5. y = 1
6. y = 0
2
2x = 42x+6 .
calculate the value of a + b.
008 (part 1 of 4) 10.0 points
Consider
x
4
f ( x) =
3
a) What is/are the asymptote(s)?
1. x = y
2. y = 0
3. None of these
4. x = 0
5. x = 0 and y = 0
009 (part 2 of 4) 10.0 points
b) What is the x-intercept?
1. None of these
2. x =
3
4
3. x =
4
3
4. x = 0
5. x =
4
3
010 (part 3 of 4) 10.0 points
c) What is the y -intercept?
1. y =
4
3
2. y =
4
3
011 (part 4 of 4) 10.0 points
d) Is the function
1. None of these
2. Decreasing
3. Increasing
2