Section 3
1. Which of the following is NOT true for the real numbersm, n, c?
a. if
and
then
b. if
and
then
c. if
and
then
d. if
and
then
2.
is equivalent to:
a.
and
b.
and
c.
and
d. A and B
e. B and C
3. The solution of
a. (-8 , 8)
b. (-8 , -4]
c. (-4 , 8)
d. [-4 , 8]
e. [-4 , 4]
, written in interval notation is:
4. Let
, then
is positive on the following interval
, then
is positive on the following interval
, then
is positive on the following interval
.
a. True
b. False
5. Let
.
a. True
b. False
6. Let
.
a. True
b. False
7. The inequality
is true for all values ofx.
a. True
b. False
8. Which of the following is IN the solution set for the inequality
a. The empty set
b. All values of x
c. The interval [0, 1]
d. The interval [-1, 2]
e. The interval [2, 10]
?
9. Use a calculator to find the interval(s) for which the following inequality holds
true. Round your answers to three decimal places.
a. (-1.618, 1.241)
b. (-
, -1.618) and (1.241,
)
c. (-1.618, -1) and (0.619, 1.241)
d. The empty set
e. It is true for all real numbers
10. In solving
algebraically, which of the following expressions written
without an absolute value sign would be equivalent to the original expression?
a.
AND
b.
AND
c.
OR
d.
OR
Section 3 -Answer Key
1. Which of the following is NOT true for the real numbersm, n, c?
*a. if
and
then
b. if
and
then
c. if
and
then
d. if
and
then
2.
is equivalent to:
a.
and
*b.
c.
and
and
d. A and B
e. B and C
3. The solution of
a. (-8 , 8)
b. (-8 , -4]
c. (-4 , 8)
*d. [-4 , 8]
e. [-4 , 4]
, written in interval notation is:
4. Let
, then
is positive on the following interval
, then
is positive on the following interval
, then
is positive on the following interval
.
*a. True
b. False
5. Let
.
*a. True
b. False
6. Let
.
*a. True
b. False
7. The inequality
is true for all values ofx.
*a. True
b. False
8. Which of the following is IN the solution set for the inequality
a. The empty set
b. All values of x
c. The interval [0, 1]
*d. The interval [-1, 2]
e. The interval [2, 10]
?
9. Use a calculator to find the interval(s) for which the following inequality holds
true. Round your answers to three decimal places.
a. (-1.618, 1.241)
b. (-
, -1.618) and (1.241,
)
*c. (-1.618, -1) and (0.619, 1.241)
d. The empty set
e. It is true for all real numbers
10. In solving
algebraically, which of the following expressions written
without an absolute value sign would be equivalent to the original expression?
*a.
AND
b.
AND
c.
OR
d.
OR
Section 4
1. Which of the following is an example of a composite function?
a. g(f(x))
b. f(x) + g(x)
c.
d. all of the above
2. If
, then its inverse function would be
a. True
b. False
3. The inverse of
would be
.
would be
.
a. True
b. False
4. The inverse of
a. True
b. False
.
5. The functionsf(x)andg(x)are defined in the table below. What would
equal?
x
f(x)
g(x)
0
1
0
1
2
3
2
3
1
3
0
2
a. 0
b. 1
c. 2
d. 3
e. 4
6. Using the previous table, what would
a. 0
b. 1
c. 2
d. 3
e. 4
equal?
7. Using the previous table, what would
a. 0
b. 1
c. 2
d. 3
e. 4
equal?
Section 4 – Answer key
1 .Which of the following is an example of a composite function?
*a. g(f(x))
b. f(x) + g(x)
c.
d. all of the above
2. If
, then its inverse function would be
a. True
*b. False
3. The inverse of
would be
.
would be
.
a. True
*b. False
4. The inverse of
*a. True
b. False
.
5. The functionsf(x)andg(x)are defined in the table below. What would
equal?
x
f(x)
g(x)
0
1
0
1
2
3
2
3
1
3
0
2
*a. 0
b. 1
c. 2
d. 3
e. 4
6. Using the previous table, what would
a. 0
*b. 1
c. 2
d. 3
e. 4
equal?
7. Using the previous table, what would
a. 0
b. 1
*c. 2
d. 3
e. 4
Section 5
1. If
and
, then the function
a. increases at a constant rate
b. decreases at a constant rate
c. increase at a constant percentage rate
d. decreases at a constant percentage rate
2. Which of the following is true?
a.
b.
c.
d.
e.
equal?
3. Decide whether the following correctly describes the expression
common logarithm ofx
: the
a. True
b. False
4. Decide whether the following correctly describes the expression
natural logarithm ofx
: the
a. True
b. False
5. Decide whether the following correctly describes the expression
logarithm base 10 ofx
: the
a. True
b. False
6. Decide whether the following correctly describes the expression
logarithm baseeofx
a. True
b. False
7. Which of the following is NOT a property of logarithms?
a. Ifm=nthen
b.
c.
d.
: the
8. Solve the following equation forx:
a.
b. 0
c. 0.477
d. 2.096
e. none of these
9. Solve the following equation forx:
decimal places.
Answer: __________
Round your answer to three
Section 5- Answer key
1. If
and
, then the function
a. increases at a constant rate
b. decreases at a constant rate
c. increase at a constant percentage rate
*d. decreases at a constant percentage rate
2. Which of the following is true?
a.
*b.
c.
d.
e.
3. Decide whether the following correctly describes the expression
common logarithm ofx
: the
*a. True
b. False
4. Decide whether the following correctly describes the expression
natural logarithm ofx
a. True
*b. False
: the
5. Decide whether the following correctly describes the expression
logarithm base 10 ofx
: the
*a. True
b. False
6. Decide whether the following correctly describes the expression
logarithm baseeofx
a. True
*b. False
7. Which of the following is NOT a property of logarithms?
a. Ifm=nthen
b.
*c.
d.
8. Solve the following equation forx:
*a.
b. 0
c. 0.477
d. 2.096
e. none of these
: the
9. Solve the following equation forx:
decimal places.
a. 1.035
end of this section.
Round your answer to three