QUESTIONNAIRE
I. WORD POOL. Identify what is asked in each item. Write your answer in your answer sheet (1 pt each)
Relation
Domain
Function
Range
Vertical Line Test
Constant Function
Identity Function
Piecewise Function
Quadratic Function
Linear Function
1. A set of ordered pairs (𝑥, 𝑦).
2. A special kind of relation in which, for each value of the first component of the ordered pairs, there is exactly
one value of the second component.
3. What do you call the set of all 𝑥-values in a set of ordered pairs?
4. What do you call the set of all 𝑦-values in a set of ordered pairs?
5. Used in identifying if a certain graph is a graph of a function. It states that if a vertical line cuts the graph in
more than one point, then the relation does not represent a function.
6. A type of function in the form 𝑦 = 𝑐 where 𝑐 is any real number.
7. A type of function in the form 𝑦 = 𝑚𝑥 + 𝑏 where 𝑚 is the slope and 𝑏 is the y-intercept.
8. A type of function that is composed of multiple sub-functions.
9. A type of function in the form 𝑦 = 𝑥.
10. A type of function in the form 𝑦 = 𝑎𝑥 2 + 𝑏𝑥 + 𝑐 where 𝑎, 𝑏, 𝑐 are any real number and 𝑎 ≠ 0.
II. IDENTIFYING FUNCTIONS. Identify if the given is a function of not. Write F if it is a function and write NF if
otherwise. (1 pt each)
1. 𝐴 = {(1, 1), (2, 3), (4, 6), (7, 8), (2, 3)}
2. 𝑥 2 + 𝑦 2 = 4
3. 𝑦 = 𝑥 2 − 2𝑥 + 4
4.
5.
III. SOLVING. Solve what is asked in each item. Show neat and complete solution in your paper.
A. Given the following functions
𝒇(𝒙) = 𝟑𝒙𝟐 − 𝟏𝟏𝒙 − 𝟒
𝒈(𝒙) = 𝟑𝒙 + 𝟏
𝒓(𝒙) = 𝟐𝒙 − 𝟑
1.
2.
Evaluate the following: (2 pts each)
𝑓(2)
c. 𝑔(−3)
e. 𝑟 ( )
b.
𝑓(𝑥 + 2)
d. 𝑔(2𝑥)
f. 𝑟 (−6𝑥 + 1)
2
Operate the following functions: (2 pts each)
a. (𝑔 + 𝑟)(𝑥)
e. (𝑓 + 𝑔 + 𝑟)(𝑥)
b. (𝑓 − 𝑔)(𝑥)
f. (𝑓 ∘ 𝑔)(𝑥)
c. (𝑔 ∙ 𝑟)(𝑥)
g. (𝑔 ∘ 𝑟)(𝑥)
𝑓
𝑔
d. ( ) (𝑥)
h. ( ) (𝑥)
𝑔
B.
1
a.
Graph the equation 𝑓(𝑥) = 𝑓(𝑥) = {
𝑟
𝑥 + 2, 𝑥 < 0
use the 𝑥-values −5, 0, 5 in your TOV (5 points)
𝑥 − 2, 𝑥 ≥ 0
IV. ANALYSIS. Understand the given problems and provide what is asked. (5 points each)
1. The presenter below was tasked to report about the company’s profit over a period of 6 months. Looking
at the presenter below, what is happening with the profit over time? What should be the label of x – axis?
What should be the label of y- axis? What is the presenter trying to imply with his graph, is the company
losing or gaining profit? Explain. (3 pts.)
Rubric for Scoring:
3 pts - demonstrates thorough knowledge of the topic
and was able to clear explanation.
2 pts - demonstrates limited understanding of the topic
1 pt - attempted to explain
0 pt - no answer
2.
Your class is planning to have a field trip in an amusement park. As the president of your group, you are
assigned to go to an amusement park in the area where you are supposed to visit and to inquire for ticket
prices so that a reasonable amount will be considered in the field trip fee.
Suppose the amusement park has two ticket options:
 A: Buy an admission ticket for Php 100 and then pay Php 5 for each ride.
 B: Buy an admission ticket for Php 40 and then pay Php 15 for each ride.
Complete the table of values: (2 pts each)
Ticket Option A
Equation
𝑦 = ___________________________
A.
Number of
rides (x)
Cost (y)
0
2
4
6
10
15
X
15
x
Ticket Option B
Equation
𝑦 = ___________________________
Number of
rides (x)
Cost (y)
B.
0
2
4
6
10
If you are going to this amusement park, what ticket option will you choose? Include other information
so that a decision can be made. Make your recommendation convincing.