Pr. 8-6Problem 8-6* represents an incorrect N answer =COUNTIF(A14:H27,"~*")Name:0Section:" " represents an unanswered N box - counts as an incorrect. =COUNTIF(A14:H27," ")57Score:0%" " represents a correct blank answer or N answer =COUNTIF(A14:H27," ")0Key Code:2Total SUM(AV13:AV15)Instructions57Answers are entered in the cells with gray backgrounds.Percentage =AD6/AD8Cells with non-gray backgrounds are protected and cannot be edited.0%A red asterisk (*) will appear in the column to the right of an incorrect answer.Notes:" " represents an unanswered N box - counts as an incorrect." " represents a correct blank answer or N answer1.Plan 1Plan 2Plan 3Total number of answers = sum of aboveConditional formatting might be used but wasn't here, to hide some of the error check return symbols. If A1 = "~*", then font = red, if something else, then font = background color.Earnings before interest and income taxDeduct interest on bondsIncome before income taxSteps:Deduct income taxOpen this sheet and macro sheetNet incomeOpen old templated, then change color palet to this sheet'sDividends on preferred stockInsert new header - change problem number and reformatAvailable for dividends on common stockCopy these formulas (column AD) to new sheet.Divide by shares of common stock outstandingUpdate to new edition's names and numbersEarnings per share on common stockCopy new error check formulas. For N-boxes=IF(sol.!$C$5="OFF","",IF(AC25=""," ",IF(AC25<>sol.!AC25,"*"," ")))2.Plan 1Plan 2Plan 3For B-Boxes=IF(sol.!$C$5="OFF","",IF(AC29<>sol.!AC29,"*"," "))Earnings before interest and income taxDeduct interest on bondsCopy Score formula from this template to new sheet.Income before income tax=IF(sol.!$C$5="OFF","","Score:")=IF(sol.!$C$5="OFF","",AD10)Deduct income taxNet incomeDividends on preferred stockAvailable for dividends on common stockDivide by shares of common stock outstandingEarnings per share on common stock3.Plan 1:Plan 1 does not require a periodic interest payment or a payment of preferred dividends, and it has the largest EPS if business conditions are poor. However, its EPS is the lowest if conditions are favorable.Plan 1 does not require a large investment by stockholders, and it has the largest EPS if business conditions are favorable. However, its EPS is the lowest if conditions are unfavorable.Plan 1 does not require a periodic interest payment, and does not require such a large investment by common stockholders. The EPS do not vary as much as the other plans as business conditions change.Plan 2:Plan 2 does not require a periodic interest payment or a payment of preferred dividends, and it has the largest EPS if business conditions are poor. However, its EPS is the lowest if conditions are favorable.Plan 2 does not require a large investment by stockholders, and it has the largest EPS if business conditions are favorable. However, its EPS is the lowest if conditions are unfavorable.Plan 3:Plan 2 does not require a periodic interest pa.

1. Pr. 8-6Problem 8-6* represents an incorrect N answer
=COUNTIF(A14:H27,"~*")Name:0Section:" " represents an
unanswered N box - counts as an incorrect.
=COUNTIF(A14:H27," ")57Score:0%" " represents a correct
blank answer or N answer =COUNTIF(A14:H27," ")0Key
Code:2Total SUM(AV13:AV15)Instructions57Answers are
entered in the cells with gray backgrounds.Percentage
=AD6/AD8Cells with non-gray backgrounds are protected and
cannot be edited.0%A red asterisk (*) will appear in the column
to the right of an incorrect answer.Notes:" " represents an
unanswered N box - counts as an incorrect." " represents a
correct blank answer or N answer1.Plan 1Plan 2Plan 3Total
number of answers = sum of aboveConditional formatting might
be used but wasn't here, to hide some of the error check return
symbols. If A1 = "~*", then font = red, if something else, then
font = background color.Earnings before interest and income
taxDeduct interest on bondsIncome before income
taxSteps:Deduct income taxOpen this sheet and macro sheetNet
incomeOpen old templated, then change color palet to this
sheet'sDividends on preferred stockInsert new header - change
problem number and reformatAvailable for dividends on
common stockCopy these formulas (column AD) to new
sheet.Divide by shares of common stock outstandingUpdate to
new edition's names and numbersEarnings per share on common
stockCopy new error check formulas. For N-
boxes=IF(sol.!$C$5="OFF","",IF(AC25="","
",IF(AC25<>sol.!AC25,"*"," ")))2.Plan 1Plan 2Plan 3For B-
Boxes=IF(sol.!$C$5="OFF","",IF(AC29<>sol.!AC29,"*","
"))Earnings before interest and income taxDeduct interest on
bondsCopy Score formula from this template to new
sheet.Income before income
tax=IF(sol.!$C$5="OFF","","Score:")=IF(sol.!$C$5="OFF","",A
D10)Deduct income taxNet incomeDividends on preferred
stockAvailable for dividends on common stockDivide by shares

2. of common stock outstandingEarnings per share on common
stock3.Plan 1:Plan 1 does not require a periodic interest
payment or a payment of preferred dividends, and it has the
largest EPS if business conditions are poor. However, its EPS is
the lowest if conditions are favorable.Plan 1 does not require a
large investment by stockholders, and it has the largest EPS if
business conditions are favorable. However, its EPS is the
lowest if conditions are unfavorable.Plan 1 does not require a
periodic interest payment, and does not require such a large
investment by common stockholders. The EPS do not vary as
much as the other plans as business conditions change.Plan
2:Plan 2 does not require a periodic interest payment or a
payment of preferred dividends, and it has the largest EPS if
business conditions are poor. However, its EPS is the lowest if
conditions are favorable.Plan 2 does not require a large
investment by stockholders, and it has the largest EPS if
business conditions are favorable. However, its EPS is the
lowest if conditions are unfavorable.Plan 3:Plan 2 does not
require a periodic interest payment, and does not require such a
large investment by common stockholders. The EPS do not vary
as much as the other plans as business conditions change.Plan 3
does not require a periodic interest payment or a payment of
preferred dividends, and it has the largest EPS if business
conditions are poor. However, its EPS is the lowest if
conditions are favorable.Plan 3 does not require a large
investment by stockholders, and it has the largest EPS if
business conditions are favorable. However, its EPS is the
lowest if conditions are unfavorable.Plan 3 does not require a
periodic interest payment, and does not require such a large
investment by common stockholders. The EPS do not vary as
much as the other plans as business conditions change.
sol.Problem 8-6* represents an incorrect N answer
=COUNTIF(A14:H27,"~*")Name:SOLUTION0Section:" "
represents an unanswered N box - counts as an incorrect.
=COUNTIF(A14:H27," ")Score:See student sheet for student's
score0Scoring:ON" " represents a correct blank answer or N

3. answer =COUNTIF(A14:H27," ")3Total
SUM(AV13:AV15)Instructions3Answers are entered in the cells
with gray backgrounds.Percentage =AD6/AD8Cells with non-
gray backgrounds are protected and cannot be edited.100%A red
asterisk (*) will appear in the column to the right of an
incorrect answer.Notes:" " represents an unanswered N box -
counts as an incorrect." " represents a correct blank answer or N
answer1.Plan 1Plan 2Plan 3Total number of answers = sum of
aboveConditional formatting might be used but wasn't here, to
hide some of the error check return symbols. If A1 = "~*", then
font = red, if something else, then font = background
color.Earnings before interest and income tax$ 1,000,000$
1,000,000$ 1,000,000Deduct interest on bonds--
200,000Income before income tax$ 1,000,000$ 1,000,000$
800,000Steps:Deduct income tax400,000400,000320,000Open
this sheet and macro sheetNet income$ 600,000$ 600,000$
480,000Open old templated, then change color palet to this
sheet'sDividends on preferred stock-100,00050,000Insert new
header - change problem number and reformatAvailable for
dividends on common stock$ 600,000$ 500,000$
430,000Copy these formulas (column AD) to new sheet.Divide
by shares of common stock
outstanding1,000,000500,000250,000Update to new edition's
names and numbersEarnings per share on common stock$
0.60$ 1.00$ 1.72Copy new error check formulas. For N-
boxes=IF(sol.!$C$5="OFF","",IF(AC25="","
",IF(AC25<>sol.!AC25,"*"," ")))2.Plan 1Plan 2Plan 3For B-
Boxes=IF(sol.!$C$5="OFF","",IF(AC29<>sol.!AC29,"*","
"))Earnings before interest and income tax$ 300,000$
300,000$ 300,000Deduct interest on bonds--200,000Copy
Score formula from this template to new sheet.Income before
income tax$ 300,000$ 300,000$
100,000=IF(sol.!$C$5="OFF","","Score:")=IF(sol.!$C$5="OFF"
,"",AD10)Deduct income tax120,000120,00040,000Net income$
180,000$ 180,000$ 60,000Dividends on preferred stock-
100,00050,000Available for dividends on common stock$

4. 180,000$ 80,000$ 10,000Divide by shares of common stock
outstanding1,000,000500,000250,000Earnings per share on
common stock$ 0.18$ 0.16$ 0.043.Plan 1:Plan 1 does not
require a periodic interest payment or a payment of preferred
dividends, and it has the largest EPS if business conditions are
poor. However, its EPS is the lowest if conditions are
favorable.Plan 1 does not require a periodic interest payment or
a payment of preferred dividends, and it has the largest EPS if
business conditions are poor. However, its EPS is the lowest if
conditions are favorable.Plan 1 does not require a large
investment by stockholders, and it has the largest EPS if
business conditions are favorable. However, its EPS is the
lowest if conditions are unfavorable.Plan 1 does not require a
periodic interest payment, and does not require such a large
investment by common stockholders. The EPS do not vary as
much as the other plans as business conditions change.Plan
2:Plan 2 does not require a periodic interest payment, and does
not require such a large investment by common stockholders.
The EPS do not vary as much as the other plans as business
conditions change.Plan 2 does not require a periodic interest
payment or a payment of preferred dividends, and it has the
largest EPS if business conditions are poor. However, its EPS is
the lowest if conditions are favorable.Plan 2 does not require a
large investment by stockholders, and it has the largest EPS if
business conditions are favorable. However, its EPS is the
lowest if conditions are unfavorable.Plan 3:Plan 2 does not
require a periodic interest payment, and does not require such a
large investment by common stockholders. The EPS do not vary
as much as the other plans as business conditions change.Plan 3
does not require a large investment by stockholders, and it has
the largest EPS if business conditions are favorable. However,
its EPS is the lowest if conditions are unfavorable.Plan 3 does
not require a periodic interest payment or a payment of
preferred dividends, and it has the largest EPS if business
conditions are poor. However, its EPS is the lowest if
conditions are favorable.Plan 3 does not require a large

5. investment by stockholders, and it has the largest EPS if
business conditions are favorable. However, its EPS is the
lowest if conditions are unfavorable.Plan 3 does not require a
periodic interest payment, and does not require such a large
investment by common stockholders. The EPS do not vary as
much as the other plans as business conditions change.
Exploration 8 – Shifting and Stretching Rational Functions
1. Sketch the graph of each function.
3( )f x
x
3
( ) 1
2
f x
x
Domain: Range: Domain: Range:
vertical horizontal vertical horizontal
asymptote: asymptote: asymptote: asymptote:

6. x-intercept: y-intercept: x-intercept: y-intercept:
How do you find the domain and vertical asymptote of a
rational function?
How did you find the range and horizontal asymptote of THIS
rational function?
How do you find the x-intercept of a function?
How do you find the y-intercept of a function?
Graphing
3
( ) 1
2
f x
x

7. is relatively easy.
Re-write the function rule as a single fraction by
subtracting the 1. Then find each of the following
for the newly written function.
Domain: Range: x-intercept: y-intercept:
vertical horizontal
asymptote: asymptote:
How do you find the equation of the horizontal asymptote for
THIS type of function?
WebAssign Problem:
Graph the function,

8. 2 4
( )
1
x
f x
x
, by shifting and stretching the function, 1( )f x
x
The horizontal shift is ______________________ because
________________________________.
The vertical shift is ______________________ because
___________________________________.
To find the stretch, you must re-write the function,
2 4
( )
1
x

9. f x
x
, in 1( )f x
x
two rules equal and solving for c. Then sketch the graph below.
For the group submission:
Graph the function,
2 2
( )
1
x
f x
x

10. , by shifting and stretching the function, 1( )f x
x
Horizontal Shift:
Vertical Shift:
Stretch:
vertical horizontal x-intercept: y-intercept:
asymptote: asymptote:

11. Domain: Range:
Group Submission for Investigation #8
Write group member names legibly here:
Graph the function,
2 2
( )
1
x
f x
x
, by shifting and stretching the function, 1( )f x
x

12. Horizontal Shift:
Vertical Shift:
Stretch:
vertical horizontal x-intercept: y-intercept:
asymptote: asymptote:
Domain: Range:
Pr. 8-5Problem 8-5* represents an incorrect N answer

13. =COUNTIF(A14:H27,"~*")Name:0Section:" " represents an
unanswered N box - counts as an incorrect.
=COUNTIF(A14:H27," ")31Score:0%" " represents a correct
blank answer or N answer =COUNTIF(A14:H27," ")0Key
Code:2Total SUM(AV13:AV15)Instructions31Answers are
entered in the cells with gray backgrounds.Percentage
=AD6/AD8Cells with non-gray backgrounds are protected and
cannot be edited.0%A red asterisk (*) will appear in the column
to the right of an incorrect answer.Notes:" " represents an
unanswered N box - counts as an incorrect.1.Maximum yearly
total preferred dividend:" " represents a correct blank answer or
N answerPreferred DividendsCommon DividendsTotal number
of answers = sum of aboveTotalYearDividendsTotalPer
ShareTotalPer ShareConditional formatting might be used but
wasn't here, to hide some of the error check return symbols. If
A1 = "~*", then font = red, if something else, then font =
background color.2008$
28,000200944,000Steps:201048,000Open this sheet and macro
sheet201160,000Open old templated, then change color palet to
this sheet's201276,000Insert new header - change problem
number and reformat2013140,000Copy these formulas (column
AD) to new sheet.Update to new edition's names and
numbersCopy new error check formulas. For N-
boxes=IF(sol.!$C$5="OFF","",IF(AC25="","
",IF(AC25<>sol.!AC25,"*"," ")))2.Average annual dividend for
preferred:For B-BoxesAverage annual dividend for
common:=IF(sol.!$C$5="OFF","",IF(AC29<>sol.!AC29,"*","
"))Copy Score formula from this template to new
sheet.=IF(sol.!$C$5="OFF","","Score:")=IF(sol.!$C$5="OFF","
",AD10)3. a.Return on initial investment, preferred:b.Return on
initial investment, common:
Enter a formula of shares x par x percentage
Enter as a formula of total/shares
sol.Problem 8-5* represents an incorrect N answer
=COUNTIF(A14:H27,"~*")Name:SOLUTION0Section:" "
represents an unanswered N box - counts as an incorrect.

14. =COUNTIF(A14:H27," ")Score:See student sheet for student's
score1Scoring:ON" " represents a correct blank answer or N
answer =COUNTIF(A14:H27," ")0Total
SUM(AV13:AV15)Instructions1Answers are entered in the cells
with gray backgrounds.Percentage =AD6/AD8Cells with non-
gray backgrounds are protected and cannot be edited.0%A red
asterisk (*) will appear in the column to the right of an
incorrect answer.Notes:" " represents an unanswered N box -
counts as an incorrect.1.Maximum yearly total preferred
dividend:$ 52,000Preferred DividendsCommon Dividends" "
represents a correct blank answer or N answerTotalTotal
number of answers = sum of aboveYearDividendsTotalPer
ShareTotalPer ShareConditional formatting might be used but
wasn't here, to hide some of the error check return symbols. If
A1 = "~*", then font = red, if something else, then font =
background color.2008$ 28,000$ 28,000$0.70$ -
$0.00200944,00044,0001.10-0.00Steps:201048,00048,0001.20-
0.00Open this sheet and macro
sheet201160,00052,0001.308,0000.16Open old templated, then
change color palet to this
sheet's201276,00052,0001.3024,0000.48Insert new header -
change problem number and
reformat2013140,00052,0001.3088,0001.76Copy these formulas
(column AD) to new sheet.$6.90$2.40Update to new edition's
names and numbersCopy new error check formulas. For N-
boxes2.Average annual dividend for preferred:$1.15Average
annual dividend for common:$0.40For B-
Boxes=IF(sol.!$C$5="OFF","",IF(AC29<>sol.!AC29,"*"," "))3.
a.Return on initial investment, preferred:2.0%b.Return on initial
investment, common:8.0%Copy Score formula from this
template to new
sheet.=IF(sol.!$C$5="OFF","","Score:")=IF(sol.!$C$5="OFF","
",AD10)
Enter as a formula of total/shares
Enter a formula of shares x par x percentage