DOANE CHRISTIAN INTERNATIONAL SCHOOL FOUNDATION,

INC.
5th Avenue, Leesco Village, La Paz, Iloilo City, Philippines
Tel. #: (033) 320-4854
School ID: 404172

Grade Level &

Name of Student: Section: 11
Teacher: ANA MAE M. JERUTA Learning Area: General Mathematics
Teaching Dates and
Time: WEEK 1(AUGUST 24-29, 2020) MODULE NO. 1.2

Pre-Test

I. Multiple Choice

____ 1. Which of the following has a horizontal asymptote at y = 0?

2x x2  5x  6
a. f ( x )  c. f ( x ) 
3 x x 3
1 x2  x
b. f ( x )  d. f ( x ) 
x4 2x2  4

3x  k
____ 2. What is the value of k in the function f ( x )  if its graph passes through the point (3, 2) ?
2x  k
a. 1 c. 9
3 9
b.  d.
2 4
1
____ 3. Which function has vertical asymptotes x  3 and x  ?
2
2x 1 x
a. f ( x)  c. f ( x )  
2x  5x  3
2
2 x  5x  3
2

x2  9 x2  5x  6
b. f ( x)  2 d. f ( x )  2
2x  5x  3 2x  5x  3

22 22
____ 4. Use the graph of f ( x )  (shown) to solve the equation 3 1
x 5
3
x 5

a. x  2
b. x  3
c. x   5
d. No solution

1
 DOANE CHRISTIAN INTERNATIONAL SCHOOL FOUNDATION,
INC.
5th Avenue, Leesco Village, La Paz, Iloilo City, Philippines
Tel. #: (033) 320-4854
School ID: 404172

x4 x4
____ 5. Use the graph of f ( x )  to solve the inequality 0.
x3 x3

a. x  4 c. 4  x  3
b. 4  x  3 d. x  0

____ 6. Which of the following functions has a slant asymptote when graphed?
3 2x2  3
a. f ( x)  c. f ( x ) 
x 1 x 1
2x  3 2 x3  3
b. f ( x)  d. f ( x ) 
x 1 x 1

____ 7. Which of the following functions has a hole at x = 5?

x 2  25 x 2  25
a. f ( x)  c. f ( x ) 
x5 x2
x 2  25 x2  6x  5
b. f ( x)  d. f ( x )  2
x 5 x  4x  5

8. Write the equation of a rational function with a vertical asymptotes at x = ±2, a

horizontal asymptote at y = 3/2 and x-intercepts of 3 and -3.

2
 DOANE CHRISTIAN INTERNATIONAL SCHOOL FOUNDATION,
INC.
5th Avenue, Leesco Village, La Paz, Iloilo City, Philippines
Tel. #: (033) 320-4854
School ID: 404172

2 x 2  3x  1
9. Analyze the function f ( x )  to determine its characteristics. Then
x2
sketch its graph without using your calculator.

( x  3)
10. Explain how the graph of f ( x )  is the same and different from the
( x  3)( x  2)
1
graph of g ( x)  .
( x  2)

11. Simplify each expression.

2x2  x x2  x  6
a. 
x2  4 2x2  5x  3

3 2x  3
b.  2
x  1 x  4x  5

3
 DOANE CHRISTIAN INTERNATIONAL SCHOOL FOUNDATION,
INC.
5th Avenue, Leesco Village, La Paz, Iloilo City, Philippines
Tel. #: (033) 320-4854
School ID: 404172

12. A rectangular garden with an area of 250 square meters is to be located next to a
building and fenced on three sides, with the building acting as a fence on the
fourth side. Find the dimensions of the garden that will minimize the amount of
fencing required.

13. A boat, which moves at 36 mph in still water, travels 28 miles downstream in the
same amount of time that it takes to travel 20 miles upstream. Find the speed of
the current.

14. Suppose you travel to a certain destination at an average speed of 30 miles per
hour. What must your average speed be on the return trip to bring your overall
average speed for the round trip to 40 miles per hour?

15. You are building a glass fish tank that will hold 72 cubic feet of water. You want
its base and sides to be rectangular and the top to be open. The width of the tank
must be 5 feet but the length and depth are variable. Building materials for the
tank cost $10 per square foot for the base and $5 per square foot for the sides.
What are the dimensions of the least expensive tank? What is the cost of this
tank?