Worksheets7.1 - 7.3 Review
Total questions: 22
Worksheet time: 1hrs 29mins
Name
Class
Date
1.
What is the domain and range of the function y=2x ?
Use the graph to help!
a)
Domain: −∞<x<∞
Range: y>0
b)
Domain: −∞<x<∞
Range: y>1
c)
Domain: −2<x<∞
Range: y>0
2.
A particular radioactive element has a half life of 25 years. For an initial mass of 10 grams, the mass y in grams after t years is given by
y=10(1/2)t/25 where t>0
How much does the mass remains after 120 years?
y=10(1/2)t/25 where t>0
How much does the mass remains after 120 years?
a)
.682
b)
.25
c)
.5
d)
.359
3.
Evaluate:
log416
log416
a)
2
b)
4
c)
1/2
d)
-2
4.
Rewrite logpt = m in exponential form.
a)
pt = m
b)
tm = p
c)
mt = p
d)
pm = t
5.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
6.
Write in exponential form.
log232 = 5
log232 = 5
a)
2-5 = 32
b)
232 = 5
c)
25 = 32
d)
325 = 2
7.
Write in exponential form.
log2(1/8) = -3
log2(1/8) = -3
a)
2-3 = 1/8
b)
21/8 = -3
c)
-32 = 1/8
d)
-31/8 = 2
8.
Solve for x
log8(x) = 2
log8(x) = 2
a)
x = 256
b)
x = 64
c)
x = 16
d)
x = 32
9.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
10.
Is this exponential growth or decay?
a)
Growth
b)
Decay
11.
A new savings account is opened with $400 and gains 3% every year. What is the exponential function?
a)
f(x)=400(1+3)x
b)
f(x)=400(1-0.03)x
c)
f(x)=400(1+0.03)x
d)
f(x)=400(0.03)x
12.
Is the pictured graph growth, decay, or linear or none?
a)
Growth
b)
Decay
c)
Linear
d)
None
13.
The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)t where t is the number of years since 1990. What was the population in 1990?
a)
0 people
b)
It doesn't say
c)
I don't know
d)
6191
14.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
15.
Solve for x:
logx 25 = 2
logx 25 = 2
a)
5
b)
-5
c)
1/5
d)
-1/5
16.
Write in logarithmic form.
52 = 25
52 = 25
a)
log52 = 25
b)
log225 = 5
c)
log255 = 2
d)
log525 = 2
17.
Rewrite as a log: 70 = 1
a)
log7(1) = 0
b)
log0(7) = 1
c)
log7(0) = 1
d)
log1(0) = 7
18.
Logarithmic functions are the inverse of...
a)
Linear Functions
b)
Exponential Functions
c)
Quadratic Functions
d)
Polynomial Functions
19.
Evaluate.
log381
log381
a)
4
b)
1/4
c)
-4
d)
-1/4
20.
Evaluate the following logarithm:
log416
a)
1
b)
-2
c)
2
d)
1/2
21.
Evaluate the following logarithm:
log327
a)
3
b)
2
c)
-3
d)
1/3
22.
Evaluate the following logarithm:
log55
a)
1
b)
0
c)
-1
d)
1/2
100 %
