GENERAL MATHEMATICS DIAGNOSTIC TEST

1. It is a rule that relates each element of a set to the elements of the other set.

• A. domain

• B. function

• C. range

• D. relation

2.The following statements are true except ______.

• A. All functions are relations .

• B. Many-to-one relations are functions

• C. A relation that passes the vertical line test is a function.

• D. Range is the set of second elements of the ordered pairs

3If A ={ (1,-2),(x,4),(-1,2),(-2,4)} is a function, which of the following can be a value of x?

• A. 1

• B. 4

• C. -2

• D. -1

For numbers 4 to 8, refer to the given functions below.

f(x) = 3x - 2 , g(x) = x + 1 , h(x) = x2 + x

• 4.What is f(-1)?

• A. -5

• B. 1

• C. -1

• D. 5

For numbers 4 to 8, refer to the given functions below.

f(x) = 3x - 2 , g(x) = x + 1 , h(x) = x2 + x

• 5. What is (f-g)(x)?

• A. 3x – 1

• B. 2x – 1

• C. 2x – 3

• D. 2x + 3

For numbers 4 to 8, refer to the given functions below.
f(x) = 3x - 2 , g(x) = x + 1 , h(x) = x2 + x

 $\cdot$  

• 6. What is (g  $\cdot$   h)(-2)? 

• A. 2 

• B. -2 

• C. 6 

• D. -6

For numbers 4 to 8, refer to the given functions below.
f(x) = 3x - 2 , g(x) = x + 1 , h(x) = x2 + x

$\cdot$

• 7.What is $\left(\frac{h}{g}\right)\left(x\right)?$

• A. x

• B. x + 1

• C. $x^2$ +1

• D. $\frac{1}{x^2}$

For numbers 4 to 8, refer to the given functions below.
f(x) = 3x - 2 , g(x) = x + 1 , h(x) = x2 + x

$\cdot$

• 8.What is (h $\circ$ f )(0) ?

• A. 6

• B. -6

• C. 2

• D. -2

For numbers 9 to 11, refer to the given problem:
A jeepney ride costs P9.00 for the first 4 km and an additional of P 0.50 to the fare for the every succeeding kilometer. 

• 9. Which of the following functions best represent the jeepney fare in terms of the distance (x) in kilometers?
  

• A. f(x) = 9x +0.50

• 
• C. f(x) = 0.50x + 9 

• 

For numbers 9 to 11, refer to the given problem:
A jeepney ride costs P9.00 for the first 4 km and an additional of P 0.50 to the fare for the every succeeding kilometer.

• 10. How much should a passenger pay for an 8km distance?
  

• A. 2

• B. 9

• C. 11

• D. 13