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?

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

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?

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. 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?

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.

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?

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. What is the value of (B ○A)(2)?

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?

Given the ordered pairs, (1,1/2) (2, 2/3) (3,3/4) (4,4/5) (5,5/6)… Which of the following would represent the given function?

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 Ms Dilao’s rectangular canvas?

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. What would be the new ratio of the canvas if Ms Dilao, wishes to cut the width in half?

Suppose the ratio (4x-2)/(5x+8) is equal to ½. What is x?

Solve the equation (2x-1)/(2x+5)= 5/3

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

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

Which of the following is true about the graph of f(x)=(x+3)/(x-2)

Which of the following is a one-to-one function?

If the y=f(x) is one-to-one, which of the following best describes the function?

Suppose the domain which consists of the vehicles {car, truck, motorbike} is mapped with a type of fuel {gasoline, diesel, LPG}. Is the function a one-to-one function?

Which is rue about the graph of a one-to-one function?

The COVID-19 pandemic has changed many aspects of human life. To show how fast the virus spreads, Teacher Thelma makes a simple illustration, starting from 1 person infecting 2 others which in turn infect four more. She then explains how this rate can be explained using an exponential function. Which of the following illustrates the number of new cases?

The COVID-19 pandemic has changed many aspects of human life. To show how fast the virus spreads, Teacher Thelma makes a simple illustration, starting from 1 person infecting 2 others which in turn infect four more. She then explains how this rate can be explained using an exponential function. If y is the number of new cases in day x, which function would represent the case illustrated by Teacher Thelma?

Suppose 52x+1 > 125, what is x?

If log 2 = 0.301 and log 3 = 0.477, find log 24.