GENERAL MATHEMATICS
SUMMATIVE TEST II
General Instruction: Write your answers neatly and clearly. No erasure.
I. Read the questions carefully and answer what is being asked.
1. Which of the following is the set of all values the variable x can take?
A. Range B. Intercept C. Domain D. Zeroes
2. What is the domain of f(x) =
xโ3
x+3
?
A. All real numbers B. All real numbers except โ 3
C. All real numbers except 3 d. Cannot be determined
3. What value/s of x that will make the function undefined f(x) =
xโ3
x
A. x = - 3 B. x = 0 C. x = 3 D. All real numbers
4. What is the LCD of the denominators 3, 4, and 2?
A. 3 B. 6 C. 8 D. 12
5. If the test value makes the inequality ___________________________, then the entire interval is not a solution to
the inequality.
A. true B. false C. proportional D. reciprocal
6. How will you describe the horizontal asymptote of ๐(๐ฅ) =
3
3+x
?
A. does not exist B. approaching at x = 3
C. approaching at y = -3 D. approaching at y = 0
7. For what value of x will make the equation ๐(๐ฅ) =
xโ2
x+2=1true
?
A. 1 B. -1 C. 2 D. -2
8. What is the x-intercept of ๐(๐ฅ) =
xโ1
x
?
A. x = -1 B. x = 0 C. x = 1 D. All real numbers
9. What is the horizontal asymptote of ๐(๐ฅ) =
3x+1
xโ5
?
A. y = 5 B. y = 3 C. y = 1 D. y = 0
10. What is the y-intercept of ๐(๐ฅ) =
x2โ3x
x+3
?
A. y = 3 B. y = 1 C. y = 0 D. y = - 2
11. What is the LCD of the denominators in the rational equation
2
x+2โง2
x2+4x+4
For item 12: Refer to the rational inequality below.
๐(๐ฅ) =
x+12
x+2โค2
12. What are the critical values in the given rational inequality?
A. ๐ฅ = โ2 ๐๐๐ 8 B. ๐ฅ = โ2 ๐๐๐ 12
C. ๐ฅ = โ2 ๐๐๐ โ 8 D. ๐ฅ = โ2 ๐๐๐ โ 12
13. For the rational function f(x) =
โ4x2โ18 x+16
x2+8x+7
, find all vertical and horizontal asymptotes.
A. vertical asymptotes x = 1 and x = โ7, horizontal asymptote y = โ4.
B. vertical asymptotes x = โ1 and x = โ7, horizontal asymptote y = โ1/4.
C vertical asymptotes x = 1 and x = 7, horizontal asymptote y = โ1/4.
D. vertical asymptotes x = โ1 and x = โ7, horizontal asymptote y = โ4.
