BG0220 Basic Mathematics

NAME___________________________________ID.______________________________SEC.____________

ASSIGNMENT 2 ( 3% )

Review Chapter 3 ( for Quiz3 and Final )

1. Find the slope of the line . _________________________________
2. Find the slope of the line passing through the points and . _____________
3. Given the straight line graph below,

a. find the slope. ______________________________

b. interpret the slope. ___________________________

__________________________________________

c. find the equation. __________________________

4. Find the value of y for which the line through the points A ( 1, y ) and B ( 4, 2 )

has a slope . ________________________________
5. Find the equation of the line through the point and perpendicular to the line
whose equation is . __________________________________

6. Solve the system of linear equations: x = ________ , y = __________

7. Graph the inequality : .
a.

From the equation , complete the following ordered pairs
( 3 , _____ ) , ( _____ , 0 ).

b. Graph the inequality .

Use graphs of Lines A – D to answer questions 8.1 – 8.6

Line A Line B Line C Line D

8.1 Which line have a negative slope? __________________

8.2 Which line has a slope of zero? __________________

8.3 Which line has an y-intercept at (0, -2)? _________________

8.4 Which line has a slope of ½ ? __________________

8.5 Which line is the graph of the equation ? __________________
8.6 Which line is the graph of the equation ? __________________
Review Chapter 4 ( for Quiz 4 and Final )

1.

Given = { ( 2, 7 ) , ( 3, 8 ) , ( – 4, 11 ) } and { ( 3, -4 ) , ( -3, 5 ) , ( 7, 4 ) },
a. find . ____________________________
b. find . ____________________________
c. find the domain of . ____________________________________
d. find the inverse of . = _________________________________
e. find . ______________________________________
2.

Given the function ,
a. find the value of . __________________
b. find the value of . __________________
3.

Given the quadratic function ,
a. find x-intercept. ________________________

b. find y-intercept. _________________________

c. find the vertex. _________________________

4.

Given the ,
a. find the vertical asymptote. _________________________

b. find the horizontal asymptote. ________________________

5. Given graph of the function below,

a. find . ______________________________________
b. find the domain of the function above. __________________________
c. find the range of the function above. __________________________
d. identify the values of where the functionis increasing. ______________
6. If , and ,
a.

find . _______________________________________
b.

find . _______________________________________
c.

find . _______________________________________
d.

find the domain of . _______________________________________
e.

find the domain of . ______________________________________
f. find the inverse of . = ___________________________
g. find . ________________________________
h. find . _______________________________
7. Given the graph below,

a. find the vertical asymptote.

_______________________

b. find the horizontal asymptote.

________________________

·

Choose an appropriate name and function given below for each of the
following graphs.

Name: Exponential function, Rational function, Square root function,

Quadratic function , Third-degree polynomial function ,

Logarithmic function , Absolute value function, Linear function.

Function: , , , ,
, , ,
Graph

Name

Function

Review Chapter 5 ( for Quiz 5 and Final )

1.

Solve for :
a. ________________________________________
b. ________________________________________
c. ________________________________________
d. ________________________________________
e. ________________________________________
2.

Evaluate . _________________________________________
3.

If , and , find the value of
a. . _____________________________
b. . ______________________________
4.

A small business estimates that the value V(t) of a copy machine is decreasing according to the function defined by ,where is the number of years the machine was purchased. What is the value of the machine 5 years after purchase? ____________
5.

Solve for : . ____________________
6.

Solve for :
a. ________________________________________
b. ________________________________________
c. ________________________________________
d. ________________________________________
e. ________________________________________
7.

Evaluate . ______________________________________
8.

If , and , find the value of
a. . _____________________________
b. . ______________________________
9.

The average scores for the group , when is the time in months ,are given by the human memory model , What is the average score at the end of 3 months? __________________
10.

Solve for : . __________________
1

()

fx

()

x

fxe

=

2

()

5

x

fx

x

=

–

()25

fxx

=+

(4,7)

2

()1

fxx

=-

()25

fxx

=-

()21

fxx

=-

3

()351

fxxx

=-+

2

()log

fxx

=

x

2

327

x

–

=

21

34

1

7

49

x

x

+

+

æö

=

ç÷

èø

5

log625

x

=

ln2

x

=-

1

log8

2

x

=

8

lnlog10log4

e

-+

log20.301

=

5

3

log30.477

=

log50.699

=

log30

2

log75

0.15

()5000(2)

t

Vt

–

=

t

x

log2log(5)2

xx

+-=

1

8512

x

+

=

(1,2)

—

34

1

7

2401

x

–

=

4

log(95)2

x

+=

1

ln()

x

e

=

1

log6

3

x

=

2

16

lnlog64log1000

e

-+

log20.3010

=

log30.4771

=

log50.6990

=

log270

5

log12

26

xy

-=

t

()756ln(1),012

fttt

=-+££

22

log(5)log(2)3

xx

+–=

2760

322

xy

xy

+=

-=-

24

xy

-³

24

xy

-=

24

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=

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3(4)5(7)

fg

-+

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–

((3))

fg

30050

()

50

xforx

fx

xforx

–< ì ï = í -³ ï î (105) f (5) f - 2 ()1213 fxxx =+- 4 3 () 728 x fx x = - () fx (3)5(2) ff -+- 237 yx =- () fx x () fx 2 ()5 fxx =+ ()54 gxx =- ()5 hxx =- 3(0)(2) fg +- ( ) () fgx - ()() fgx × () hx (1,3) - () fx () gx 1 () gx - gof (((1))) hgf - Applied Sciences Architecture and Design Biology Business & Finance Chemistry Computer Science Geography Geology Education Engineering English Environmental science Spanish Government History Human Resource Management Information Systems Law Literature Mathematics Nursing Physics Political Science Psychology Reading Science Social Science Home Homework Answers Blog Archive Tags Reviews Contact google+twitterfacebook Copyright © 2021 HomeworkMarket.comHOMEWORKMARKET.COM – YOUR HOMEWORK ANSWERSHomeworkMarket chat0 Home.Literature. Help. Log in / Sign up Math work profile september Assig2-BG0220-2020-1.docx Home>Mathematics homework help>Math work
BG0220 Basic Mathematics

NAME___________________________________ID.______________________________SEC.____________

ASSIGNMENT 2 ( 3% )

Review Chapter 3 ( for Quiz3 and Final )

1. Find the slope of the line . _________________________________
2. Find the slope of the line passing through the points and . _____________
3. Given the straight line graph below,

a. find the slope. ______________________________

b. interpret the slope. ___________________________

__________________________________________

c. find the equation. __________________________

4. Find the value of y for which the line through the points A ( 1, y ) and B ( 4, 2 )

has a slope . ________________________________
5. Find the equation of the line through the point and perpendicular to the line
whose equation is . __________________________________

6. Solve the system of linear equations: x = ________ , y = __________

7. Graph the inequality : .
a.

From the equation , complete the following ordered pairs
( 3 , _____ ) , ( _____ , 0 ).

b. Graph the inequality .

Use graphs of Lines A – D to answer questions 8.1 – 8.6

Line A Line B Line C Line D

8.1 Which line have a negative slope? __________________

8.2 Which line has a slope of zero? __________________

8.3 Which line has an y-intercept at (0, -2)? _________________

8.4 Which line has a slope of ½ ? __________________

8.5 Which line is the graph of the equation ? __________________
8.6 Which line is the graph of the equation ? __________________
Review Chapter 4 ( for Quiz 4 and Final )

1.

Given = { ( 2, 7 ) , ( 3, 8 ) , ( – 4, 11 ) } and { ( 3, -4 ) , ( -3, 5 ) , ( 7, 4 ) },
a. find . ____________________________
b. find . ____________________________
c. find the domain of . ____________________________________
d. find the inverse of . = _________________________________
e. find . ______________________________________
2.

Given the function ,
a. find the value of . __________________
b. find the value of . __________________
3.

Given the quadratic function ,
a. find x-intercept. ________________________

b. find y-intercept. _________________________

c. find the vertex. _________________________

4.

Given the ,
a. find the vertical asymptote. _________________________

b. find the horizontal asymptote. ________________________

5. Given graph of the function below,

a. find . ______________________________________
b. find the domain of the function above. __________________________
c. find the range of the function above. __________________________
d. identify the values of where the functionis increasing. ______________
6. If , and ,
a.

find . _______________________________________
b.

find . _______________________________________
c.

find . _______________________________________
d.

find the domain of . _______________________________________
e.

find the domain of . ______________________________________
f. find the inverse of . = ___________________________
g. find . ________________________________
h. find . _______________________________
7. Given the graph below,

a. find the vertical asymptote.

_______________________

b. find the horizontal asymptote.

________________________

·

Choose an appropriate name and function given below for each of the
following graphs.

Name: Exponential function, Rational function, Square root function,

Quadratic function , Third-degree polynomial function ,

Logarithmic function , Absolute value function, Linear function.

Function: , , , ,
, , ,
Graph

Name

Function

Review Chapter 5 ( for Quiz 5 and Final )

1.

Solve for :
a. ________________________________________
b. ________________________________________
c. ________________________________________
d. ________________________________________
e. ________________________________________
2.

Evaluate . _________________________________________
3.

If , and , find the value of
a. . _____________________________
b. . ______________________________
4.

A small business estimates that the value V(t) of a copy machine is decreasing according to the function defined by ,where is the number of years the machine was purchased. What is the value of the machine 5 years after purchase? ____________
5.

Solve for : . ____________________
6.

Solve for :
a. ________________________________________
b. ________________________________________
c. ________________________________________
d. ________________________________________
e. ________________________________________
7.

Evaluate . ______________________________________
8.

If , and , find the value of
a. . _____________________________
b. . ______________________________
9.

The average scores for the group , when is the time in months ,are given by the human memory model , What is the average score at the end of 3 months? __________________
10.

Solve for : . __________________
1

()

fx

()

x

fxe

=

2

()

5

x

fx

x

=

–

()25

fxx

=+

(4,7)

2

()1

fxx

=-

()25

fxx

=-

()21

fxx

=-

3

()351

fxxx

=-+

2

()log

fxx

=

x

2

327

x

–

=

21

34

1

7

49

x

x

+

+

æö

=

ç÷

èø

5

log625

x

=

ln2

x

=-

1

log8

2

x

=

8

lnlog10log4

e

-+

log20.301

=

5

3

log30.477

=

log50.699

=

log30

2

log75

0.15

()5000(2)

t

Vt

–

=

t

x

log2log(5)2

xx

+-=

1

8512

x

+

=

(1,2)

—

34

1

7

2401

x

–

=

4

log(95)2

x

+=

1

ln()

x

e

=

1

log6

3

x

=

2

16

lnlog64log1000

e

-+

log20.3010

=

log30.4771

=

log50.6990

=

log270

5

log12

26

xy

-=

t

()756ln(1),012

fttt

=-+££

22

log(5)log(2)3

xx

+–=

2760

322

xy

xy

+=

-=-

24

xy

-³

24

xy

-=

24

xy

-³

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x

y

x

y

3

=

3

+

–

=

x

y

()

fx

()

gx

=

(2)(3)

ff

+

3(4)5(7)

fg

-+

()

fx

1

()

fx

–

((3))

fg

30050

()

50

xforx

fx

xforx

–< ì ï = í -³ ï î (105) f (5) f - 2 ()1213 fxxx =+- 4 3 () 728 x fx x = - () fx (3)5(2) ff -+- 237 yx =- () fx x () fx 2 ()5 fxx =+ ()54 gxx =- ()5 hxx =- 3(0)(2) fg +- ( ) () fgx - ()() fgx × () hx (1,3) - () fx () gx 1 () gx - gof (((1))) hgf - Applied Sciences Architecture and Design Biology Business & Finance Chemistry Computer Science Geography Geology Education Engineering English Environmental science Spanish Government History Human Resource Management Information Systems Law Literature Mathematics Nursing Physics Political Science Psychology Reading Science Social Science Home Homework Answers Blog Archive Tags Reviews Contact google+twitterfacebook Copyright © 2021 HomeworkMarket.com