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60 questions
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  • Q1

    Functions offer an interesting way to understand relationships between quantities. As a businessman, Mr. Cruz uses functions to predict the income of his store located in Balanga City. He used previous data to make models that could describe the relationship between number of customer (x) and the sales for each of his products. For product A, the income is represented by A(x)=420x-250, while the income for product B is given by B(x)=250x + 35.

    Which of the following would be an example of a function?

    Number of items bought and their total price

    Number of customers and gross sales

    Time of the day and number of customers

    Relationship of an item to its price.

    60s
  • Q2

    If y=f(x), which of the following CANNOT be true?

    two values of y can correspond to only one value x

    x is a function of y.

    if x changes, then y must also change in value

    two values of x can result to one value y

    60s
  • Q3

    Mr. Cruz bought a box of product D with a total cost of x pesos. If there are 13 pieces of product D inside the box, which would give the function for the price of each piece?

    x/13

    13x

    x+13

    x-13

    60s
  • Q4

    If in a certain day, Mr. Cruz was able to sell 20 pieces of product A, what was the sales for product A that day? 

    9150

    8650

    8100

    8150

    60s
  • Q5

    Suppose you are working for Mr Cruz and a customer wants to buy 5 pieces of product B. How would you determine the total price of the purchase?

    Add 5 to 35 and multiply the sum to 250

    Multiply 5 by 35 then add 250 to the total

    Multiply 5 by 250 then add 35 to the total

    Add 250 to 35 then multiply the sum to 5.

    60s
  • Q6

    Mr. Cruz told you that the price of product D is the composition of the functions A(x) and B(x) wherein the function A is applied to the results of the function of B. How would this be expressed mathematically?

    A + B(x)

    [A(B)](x)

    A[B(x)]

    B[A(x)]

    60s
  • Q7

    What is the value of (𝐵 ○ 𝐴)(2)?

    C. 147535

    101225

    224450

    85450

    60s
  • Q8

    For product C, Mr Cruz determines that the function C(x) can be found by multiplying the number of customers by P120. Which of the following represents the function C?

    C(x)= 120x

    C(x) =x-120

    C(x)=120/x

    C(x)=x+120

    60s
  • Q9

    How much will be the total sales from product A and B in a certain period of time?

    670x-215

    670x-285

    670x+215

    650x+285

    60s
  • Q10

    During the celebration of the Philippine Independence Day on June 12, 2021, the store had a record high in terms of both number of customers and sales. If on that day, the store received 200 customers, what was the total sales for Product A?

    P 48, 190

    P 190

    P 4,750

    P 83, 750

    60s
  • Q11

    RATIONAL FUNCTIONS.

    We can simply say that a rational function can be defined by a rational fraction wherein both numerator and denominator are polynomial functions. As an artist, Ms Dilao takes interest on the ratio of the sides of a rectangular canvas. She believes that this ratio could highlight the beauty of a painting. In one of her collections, she used different rectangular canvas following the function L(x)=5x+8 for the length and W(x)=4x-2.

    Which represents the ratio of the length to the width of the rectangular canvas?

    (5x+8) – (4x-2)

     5𝑥+8

    4𝑥−2

     5 𝑥 − 4

    4

    (5x+8) – (4x-2)

    60s
  • Q12

    Suppose the ratio . 4𝑥−2 is equal to ½. What is x?

                                                5𝑥+8

    8

    4

    6

    2

    60s
  • Q13

    In one of her exhibits, the ratio of the sides of the canvas is given by 𝑓(𝑥) = 2𝑥+1. What is the domain of the rational 𝑥−2 function?

    {𝑥 ∈ R ∣ 𝑥 ≠ -2}

    {𝑥 ∈ R ∣ 𝑥 ≠ -1}

                               2

    {𝑥 ∈ R ∣ 𝑥

    {𝑥 ∈ R ∣ 𝑥 

    60s
  • Q14

    What is the x- intercept of the graph of 𝑓(𝑥) = 2𝑥+1?

                                                                                                               𝑥−2

    2

    1/4

    4

    1/2

    60s
  • Q15

    Which of the following is the y-intercept of the graph of the rational function 𝑓(𝑥) = 2𝑥+1?

                                                                                                                                                                                                     𝑥−2

    2

    1/2

    -1

    - 1/2

    60s

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