Question 1

A function is ___________ a relation, but not all relations are functions.

Accepted Answer

always

Answer

seldom

Answer

sometimes

Answer

never

Question 2

Which of the following relations is a function?

Accepted Answer

{(-1, 2), (0, 2), (1, 9)}

Answer

{(0, 2), (-4, 1), (-4, 3)}

Answer

{(2, 2), (2, 3), (-1, 5)}

Answer

{(-1, 2), (-1, 3), (-1, 9)}

Question 3

It is a function defined by two or more formulas on different parts of its domain.

Accepted Answer

piecewise

Answer

cubic

Answer

polynomial

Answer

rational

Question 4

Which of the following ordered pairs representsa function?

Accepted Answer

{(3,1), (4, 2), (5, 3), (6, 4)}

Answer

{(3,1), (4, 2), (5, 3), (5, 4)}

Answer

{(3,1), (3, 2), (5, 3), (6, 4)}

Answer

{(3,1), (4, 2), (5, 3), (3, 4)}

Question 5

Which of the following scenarios could best be modeled by a piecewise function?

Accepted Answer

The monthly water bill, where the rate changes after a certain number of gallons are used.

Answer

The price of a T-shirt in a store that has a fixed price.

Answer

The number of books read in a year by a student, which increases by a constant number each month.

Answer

The constant speed of a car driving on a highway.

Question 6

A food delivery service charges a flat rate of ₱50 plus ₱20 per kilometer traveled. Which function represents the total cost $C(x)$ for traveling $x$ kilometers?

Accepted Answer

C(x)=50+20x

Answer

C(x)=20x+50

Answer

C(x)=50x+20

Answer

C(x) =20+50x

Question 7

The function $C(x)$ converts a temperature from Celsius x to Fahrenheit F(x). What is the Fahrenheit temperature when it is 30 degrees Celsius?

Accepted Answer

86 °F

Answer

0°F

Answer

56°F

Answer

80°F

Question 8

A supermarket offers two pricing models for purchasing fruits:

Model A: ₱50 for the first kilogram and ₱20 per additional kilogram.

Model B: ₱40 per kilogram for any amount purchased.

For a customer who buys 5 kilograms of fruit, which model is more cost-effective and why?

Accepted Answer

Model A, because it has a lower cost per kilogram for more than 1 kilogram.

Answer

Model B, because it offers a flat rate.

Answer

Model A, because it costs ₱90 for 5 kilograms.

Answer

Model B, because it costs ₱200 for 5 kilograms.

Question 9

What does the notation f(x) = 5x + 2 represent?

Accepted Answer

A function that multiplies x by 5 and adds 2.

Answer

A function that adds 5 to x and then multiplies by 2.

Answer

A function that subtracts 2 from x and then adds 5.

Question 10

What is the domain of the function f(x) = $C(x)$ ?

Accepted Answer

Answer

All real numbers

Answer

Question 11

Which of the following functions is linear?

Accepted Answer

f(x) = 2x – 4

Answer

<math>f\left(x\right)=\frac{1}{x}</math>

Answer

<math>f\left(x\right)=\sqrt{2x+1}</math>

Answer

Question 12

What does the vertical line test determine?

Accepted Answer

Whether a graph represents a function

Answer

The x-intercept of a function

Answer

The slope of a function

Answer

Whether a function is linear

Question 13

For the function g(x)= $C(x)$ what is the range?

Accepted Answer

All non-negative real numbers

Answer

x > 0

Answer

x < 0

Answer

All real numbers

Question 14

Given the function f(x)=−2, which represents a quadratic function where the output is calculated by squaring the input x, multiplying by 3, and then subtracting 2,what is the value of the function f when x=3?

Accepted Answer

25

Answer

20

Answer

18

Answer

12

Question 15

What is the domain of the function f(x) = 2 $C(x)$ +5x

Accepted Answer

All real numbers

Answer

x<3

Answer

x>5

Answer

-2<x<2

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