Solve the problem.
153)
A state park charges $13 per day or fraction of a day to rent a tent site, plus a fixed $4 park
maintenance fee. Let T(x) represent the cost to stay in a tent site for x days. Find T 4 1
3.
153)
A)
$56.00
B)
$60.33
C)
$52.00
D)
$69.00
Classify the function as even, odd, or neither.
154)
f(x) =8x3+ 6
154)
A)
Even
B)
Odd
C)
Neither
Give the domain of the function.
155)
f(x) =1
x2+5x –36
155)
A)
(–, 4)
(9, )
B)
(–, –9)
(4, )
C)
(9, 4)
D)
(–, )
Solve the equation. Round decimal answers to the nearest thousandth.
156)
ey +6=4
156)
A)
–4.614
B)
0.231
C)
–5.398
D)
7.386
Solve the problem.
157)
Let C(x) =11x +73 be the cost to produce x units of a product, and let R(x) = – x2+29x be the
revenue. Find the maximum profit.
157)
A)
$9
B)
$6
C)
$11
D)
$8
80
Use natural logarithms to evaluate the logarithm to the nearest thousandth.
158)
log8.9 7.0
158)
A)
1.123
B)
0.787
C)
0.890
D)
0.845
Solve the problem.
159)
The table shows the estimated number of pounds of summer flounder harvested in North Carolina
each year from 1992–1998. Let y = f(x) represent the number of flounder (in millions of pounds) and
x represent the years. What is the independent variable?
Year Millions of lb of
Summer Flounder
1992 2.6
1993 3.1
1994 3.6
1995 4.6
1996 4.2
1997 1.5
1998 3.0
159)
A)
The number of hurricanes striking the N.C. coast in the given year
B)
None of these are correct.
C)
Years
D)
Millions of pounds of flounder
160)
An economist predicts that the buying power B(x) of a dollar x years from now will decrease
according to the formula B(x) =0.67x. How much will today’s dollar be worth in 3 years? Round to
the nearest cent.
160)
A)
$2.09
B)
$2.01
C)
$0.30
D)
$0.89
Graph the rational function.
81
161)
y =1
x + 4
161)
A)
B)
C)
D)
Solve the problem.
162)
A college student invests $9000 in an account paying 4% per year compounded annually. In how
many years will the amount at least double? Round to the nearest tenth when necessary.
162)
A)
23.4 yr
B)
28 yr
C)
31.9 yr
D)
17.7 yr
Graph the indicated new function, given the graph for y = f(x).
163)
y = af(x), where a satisfies 0 < a < 1
163)
A)
B)
83
C)
D)
Give the domain of the function.
164)
g(z) =1–z2
164)
A)
[–1, 1]
B)
(–1, 1)
C)
[0, )
D)
(–,)
Graph the rational function.
165)
y =2x
x – 3
165)
84
A)
B)
C)
D)
Rewrite the expression as a sum, difference, or product of simpler logarithms.
166)
log6xy
166)
A)
log6x – log6y
B)
log3x + log3y
C)
log3x – log3y
D)
log6x + log6y
Decide whether the graph represents a function.
167)
167)
A)
Function
B)
Not a function
Solve the problem.
168)
Find the present value of the deposit. $10,000 at 6% compounded quarterly for 4 years. Round to
the nearest cent.
168)
A)
$7904.31
B)
$12,689.86
C)
$7880.31
D)
$12,665.86
Give the domain of the function.
169)
f(x) =5x2+ 7x + 3
169)
A)
(–, )
B)
(–, 0)
C)
(0, )
D)
(–, 0)
(0, )
Solve the problem.
170)
Find the effective rate corresponding to the nominal rate. 5% compounded quarterly. Round to the
nearest hundredth.
170)
A)
5.14%
B)
5.09%
C)
5.17%
D)
5.04%
Using the graph below, sketch the graph of the given function.
171)
y = f(–x)
171)
A)
B)
87
C)
D)
The following is a graph of a polynomial function. State whether the degree of the polynomial is even or odd, and give
the sign (+
or –) for the leading coefficient.
172)
172)
A)
Degree is even; –
B)
Can’t identify degree; +
C)
Degree is even; +
D)
Degree is odd; +
Solve the equation.
173)
log 4x = log 2+ log (x + 5)
173)
A)
5
3
B)
5
C)
–5
D)
7
3
Give the range for the function if the domain is {–2, –1, 0, 1, 2}.
174)
y = 2x – 1
174)
A)
{–5, –3, –1, 1, 3}
B)
{–3, –1, 1, 3, 5}
C)
{–2, –1, 0, 1, 2}
D)
{–4, –3, –2, –1, 0}
Determine whether the rule defines y as a function of x.
175)
x =y3+5
175)
A)
Function
B)
Not a function
Give the range for the function if the domain is {–2, –1, 0, 1, 2}.
176)
y = x(x – 1)
176)
A)
{–6, –2, 0, 2, 6}
B)
{0, 2, 6}
C)
{0, 4, 8}
D)
{–8, –4, 0, 4, 8}
Find f(x +
h) – f(x)
h.
177)
f(x) =5x – 10
177)
A)
2
B)
5
C)
–5h
D)
10
B
Determine whether the rule defines y as a function of x.
178)
x y
–7 9
–7–2
2 3
3 7
9 1
178)
A)
Function
B)
Not a function
Solve the problem.
179)
The magnitude of an earthquake, measured on the Richter scale, is given by R(I) = log I
I0, where I is
the amplitude registered on a seismograph located 100 km from the epicenter of the earthquake,
and I0 is the amplitude of a certain small size earthquake. Find the Richter scale rating of an
earthquake with an amplitude of 630,957 I0.
179)
A)
13.4
B)
4.8
C)
0.58
D)
5.8
Solve the equation.
180)
log (x + 4) = log (2x + 1)
180)
A)
–3
B)
3
C)
–2
5
D)
5
Solve the problem.
181)
A certificate of deposit pays 5.5% interest compounded semiannually. What effective interest rate
does the CD pay? Round to the nearest tenth when necessary.
181)
A)
4.5%
B)
6.3%
C)
5.6%
D)
11.3%
B
182)
Suppose a life insurance policy costs $20 for the first unit of coverage and then $5 for each
additional unit of coverage. Let C(x) be the cost for insurance of x units of coverage. What will 10
units of coverage cost?
182)
A)
$50
B)
$30
C)
$65
D)
$70
Solve the equation. Round decimal answers to the nearest thousandth.
183)
3(5x – 1)=12
183)
A)
1.000
B)
0.252
C)
0.477
D)
0.652
Solve the problem.
184)
Sue wants to put a rectangular garden on her property using 68 meters of fencing. There is a river
that runs through her property so she decides to increase the size of the garden by using the river as
one side of the rectangle. (Fencing is then needed only on the other three sides.) Let x represent the
length of the side of the rectangle along the river. Express the garden’s area as a function of x.
184)
A)
A(x) =33x –1
4x2
B)
A(x) =34x –1
2x2
C)
A(x) =35x – 2x2
D)
A(x) =34x2– x
Rewrite the expression as a sum, difference, or product of simpler logarithms.
185)
log48x
185)
A)
log48– log4x
B)
log28+ log2x
C)
log28– log2x
D)
log48+ log4x
Find the domain of the function.
186)
f(x) = ln (–3– x)
186)
A)
x < – 3
B)
x > – 3
C)
x >3
D)
x <3
Solve the problem.
187)
Suppose that the number of bacteria in a culture after x hours is given by f(x) = 500 ·120.125x. How
many bacteria are in the culture after 10 hours?
187)
A)
3 bacteria
B)
42,128 bacteria
C)
13,623 bacteria
D)
11,167 bacteria
Give the range for the function if the domain is {–2, –1, 0, 1, 2}.
188)
5x – y = 2
188)
A)
{–12, 0, 12}
B)
{–12, –7, –2, 3, 8}
C)
{–10, 0, 10}
D)
{–10, –5, 0, 5, 10}
Solve the problem.
189)
Suppose that the number of bacteria in a culture after x hours is given by f(x) = 1000 ·70.167x. How
many bacteria are in the culture after 8 hours?
189)
A)
4 bacteria
B)
2027 bacteria
C)
13,460 bacteria
D)
5331 bacteria
190)
In the formula N = Iekt, N is the number of items in terms of an initial population I at a given time t
and k is a growth constant equal to the percent of growth per unit time. How long will it take for
the population of a certain country to triple if its annual growth rate is 2.7%? Round to the nearest
year.
190)
A)
18 yr
B)
111 yr
C)
1 yr
D)
41 yr
A
191)
Assume the cost of a car is $18,000. With continuous compounding in effect, find the number of
years it would take to double the cost of the car at an annual inflation rate of 3%. Round to the
nearest hundredth.
191)
A)
23.10 yr
B)
326.60 yr
C)
3.27 yr
D)
349.71 yr
Answer Key
Testname: C2
94
Answer Key
Testname: C2
95
Answer Key
Testname: C2
Answer Key
Testname: C2
Answer Key
Testname: C2