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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 : . __________________

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