Asian College of Technology – Bulacao Campus
Bulacao, Talisay City, Cebu
MIDTERM EXAMINATION
GENERAL MATHEMATICS
Name: _________________________________________________ Section: ______________ Date: ________________
I – Direction: Read each question carefully and choose your best answer. Write the capital letters only.
1.
2.
3.
4.
5.
Given f(x) = 3x2 + 7x and g(x) = 2x2 - x - 1, find (f + g)(x).
a. 11x2 – 1
b. 5x4 + 6x2 – 1
c. 5x2 + 6x – 1
d. 5x2 + 8x – 1
Given f(x) = 3x2 + 7x and g(x) = 2x2 - x - 1, find (f - g)(x).
a. x2 + 8x + 1
b. x2 + 6x – 1
c. 5x2 + 8x – 1
d. x2 + 8x -1
Given f(x) = 3x2 - 2x + 1 and g(x) = x - 4, find (f . g)(x).
a. 3x3 - 10x2 - 7x – 4
b. 3x3 - 14x2 + 9x – 4
Given f(x) = x2 - 2x + 1 and g(x) = x - 1. Find (f/g)(x)?
a. no solution
b. (x + 1)
c. (x - 1)
Given f(x) = 2x2 + 2x and g(x) = x + 1, find (f . g)(x).
a. 4x2 + 2x
b. 2x2 + 3x2 + 1
c. 2x3 - 4x2 + 2x
Is this mapping a function or not a function?
a. Function
b. Not function
7.
Is this table a function or not a function?
a. Function
b. Not function
8.
Which set of values is a function?
a. {(9,5) (10,5) (9,-5) (10,-5)}
b. {(3,4) (4,-3) (7,4) (3, 8)}
d. 2x3 + 4x2 + 2x
c. {(6,-5) (7, -3) (8, -1) (9, 1)}
Is this graph a function or not a function?
a. Function
b. Not Function
10. All of the x values or inputs are called what?
a. Domain
b. Range
c. Relation
d. Function
II – Direction: Show your complete solution on the following items below.
1.
2.
3.
4.
5.
f(x)= x2-5x
f(x) = 3x2 – 5x + 13
f(x) = 2x2 +3x – 7
f(x) = x2 – 2x – 15
f(x) = x2 + 7x + 12
Find f(4)
Find f(-5)
Find f(-3)
Find ( ½)
Find ( - ½)
III – Direction: Show your complete solution on the following items below.
1.
2.
3.
4.
5.
d. 3x3 + 14x2 - 9x – 4
d. (x-1)/(x+1)
6.
9.
c. 3x2 - x – 3
Given g(x)= -3x and f(x)=x2+2, find (f o g)(x).
Given g(x)= 3x+4 and f(x)=3x-1, find (g o f)(x).
Given f(x) = 3x + 10 and g(x) = x – 2, find (f o g)(5).
Given f(x) = 3x + 10 and g(x) = x2 – 2, find (g o f)(-10).
Given f(x) = x2 – 4 and g(x) = x – 2 find (g o f)(-4).
“Life is a succession of lessons which must be lived to be understood.”
-Helen Keller
d. (2, -2) (5, 9) (5, -7) (1, 4)