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 ? __________________
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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