WorksheetsUnit 2 Redo Day
Total questions: 40
Worksheet time: 1hrs 24mins
Name
Class
Date
1.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
2.
Given y=3x determine the y-intercept
a)
(0,1)
b)
(0,3)
3.
Is this exponential growth or decay?
a)
Growth
b)
Decay
4.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
5.
Evaluate: 3log416
a)
3
b)
6
c)
9
d)
7
6.
Evaluate: log7(1/49)
a)
2
b)
-1
c)
-2
d)
1
7.
(-151)0
a)
0
b)
1
c)
-151
d)
151
8.
Solve for x:
4x = 16
4x = 16
a)
1
b)
2
c)
4
d)
-2
9.
Solve for x:
4x = 32
4x = 32
a)
2
b)
4
c)
log432
d)
log324
13.
Solve for x:
e2x = 11
e2x = 11
a)
x = (LN 11)/2
b)
x = 2loge11
c)
x = 2eLOG 11
d)
x = LN (11/2)
11.
Solve for x:
5x = 17
5x = 17
a)
x = log175
b)
x = log 5 + log 17
c)
x = log517
d)
x = (log 5)/(log 17)
12.
Solve for x:
2x - 17 = 15
2x - 17 = 15
a)
2
b)
3
c)
4
d)
5
13.
Solve for x:
e2x = 11
e2x = 11
a)
x = (LN 11)/2
b)
x = 2loge11
c)
x = 2eLOG 11
d)
x = LN (11/2)
14.
Solve for x:
32x-3 = 81
32x-3 = 81
a)
3/2
b)
7/2
c)
5/2
d)
undefined
15.
Solve the exponential equation
a)
5
b)
5/4
c)
4/5
d)
4
16.
Solve for x.
a)
-1
b)
0
c)
1
d)
2
17.
Rewrite as a single log:
log 5 + log 7
log 5 + log 7
a)
log 12
b)
log -2
c)
log 35
d)
undefined
18.
Write as a single log:
log 12 - log 2
log 12 - log 2
a)
log 6
b)
log 10
c)
0
d)
2
19.
Given f(x) = logx, how would the following function change and where would the anchor point be?
g(x) = 4 f(7x) + 2
g(x) = 4 f(7x) + 2
a)
Spread, (1/7,2)
b)
Compress (1/7, 2)
c)
Spread (7,2)
d)
Compress (7,2)
20.
Given f(x) = logx, how would the following function change and where would the anchor point be?
g(x) = 0.5 f(2x) -3
g(x) = 0.5 f(2x) -3
a)
Spread, (1/2,3)
b)
Compress (1/2,-3)
c)
Spread (2,3)
d)
Compress (2,-3)
21.
Given f(x) = logx, how would the following function change and where would the anchor point be?
g(x) = 3 f(5x) + 1
g(x) = 3 f(5x) + 1
a)
Spread, (1/5,1)
b)
Compress (1/5,1)
c)
Spread (5,1)
d)
Compress (5,1)
22.
Evaluate the log:
log3(1/9) =
log3(1/9) =
a)
1/2
b)
2
c)
-2
d)
3
23.
What is the value of 53 ?
a)
5
b)
15
c)
25
d)
125
24.
What is the value of ln(e)
a)
1
b)
e
c)
2.718...
d)
Does not exist
25.
Solve for x:
ex=7
ex=7
a)
x=ln7
b)
x=ln7
c)
x=7ln
d)
No solution
26.
Is the equation linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
27.
How are exponentials and logarithms related?
a)
They're cousins
b)
They're inverses
c)
They're not related
d)
They're reciprocals
28.
Solve the following equation for x. Round your solution to two decimal places.
ln3x + ln2x = 3
ln3x + ln2x = 3
a)
x = 12.91
b)
x = 4.02
c)
x = 3.35
d)
x = 1.83
29.
Solve the following equation for x. Round your solution to two decimal places.
ln2x - ln41 = 2
ln2x - ln41 = 2
a)
x = 0.36
b)
x = 151.48
c)
x = 41
d)
None of these are solutions
30.
What is the inverse of the function
f(x) = 2x + 4 ?
f(x) = 2x + 4 ?
a)
f-1(x) = 4(x -2)
b)
f-1(x) = (x-4)/2
c)
f-1(x) = x/2 - 4
d)
f-1(x) = x/4 + 2
31.
Are these functions inverses of each other?
a)
Yes
b)
No
32.
Are the following inverses of each other?
a)
True
b)
False
33.
When creating an inverse you must...
a)
Switch the x and y
b)
Solve for x
c)
Draw a graph
d)
Potato
34.
Find the inverse of f(x) = -4x - 12
a)
f-1(x) = 4x - 3
b)
f-1(x) = -1/4x - 3
c)
f-1(x) = 1/4x + 3
d)
f-1(x) = -4x - 3
35.
Find the inverse of f(x) = 3x +8
a)
f-1(x) = 3x - 8/3
b)
f-1(x) = 8/3x - 1/3
c)
f-1(x) = 1/3x - 8/3
d)
f-1(x) = 1/3x + 8/3
36.
a)
A.
b)
B.
c)
C.
d)
D.
37.
Are the functions inverses?
a)
Yes
b)
No
38.
Find the inverse
a)
2n+2
b)
-2n+2
c)
1+(1/2)n
d)
2n-2
39.
Find the inverse
a)
-2n+10
b)
n+10
c)
-5+2n
d)
2n+10
40.
Are the functions inverses?
a)
Yes
b)
No
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