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General Mathematics Quiz

Total questions: 40

Worksheet time: 20mins

Name
Class
Date
1.

A linear function f is an _________ function if f(x) = mx + b, where m = 1 and b = 0. Thus, f(x) = x.

a)

Identity

b)

absolute value

c)

constant

d)

piece-wise

2.

If f(x) = x + 8, evaluate f(4/4)

a)

8

b)

4

c)

9

d)

12

3.

If f(x) = x + 5, evaluate f(x + 3)

a)

x-8

b)

x-2

c)

x+2

d)

x+8

4.

The function f is an ________function if and only if     f(–x) = f(x),  for all x in the domain of f.

a)

identity

b)

odd

c)

neither

d)

even

5.

The function f is an ______ function if and only if f(–x) = –f(x),  for all x in the domain of f.

a)

odd

b)

even

c)

neither

d)

identity

6.

What is the correct representation of a one-to-one function?

a)

It passes both vertical and horizontal line tests

b)

It is always a linear function

c)

It passes the vertical line test only

d)

It can have multiple outputs for one input

7.

Determine whether or not each statement is True or False.

If f(x) = x + 6 and g(x) = 3x, then  (f/g)(3) = 1.

a)

True

b)

False

8.

What is the formula for the area A that can be enclosed with 100 meters of fencing?

a)

A = 100/x

b)

A = 50x^2

c)

A = 100x

d)

A = x(100 - 2x)

9.

f(x) = x2– 4x  evaluate f(-x+2)

a)

x2+8

b)

x2 - 4

c)

x2+4

d)

x2-8

10.

Determine whether or not each function is even, odd, or neither function.

f(x) = x3  – 1

a)

even

b)

odd

c)

neither

11.

Determine whether or not each function is even, odd, or neither function.

g(x) = 2x4+ 3x2+ 1

a)

odd

b)

even

c)

neither

12.

Determine whether or not each function is even, odd, or neither function.

h(x) = x4– x2

a)

even

b)

odd

c)

neither

13.

What is the correct definition of a function?

a)

A relation that assigns one output for every input

b)

A relation that can have multiple outputs

c)

A set of ordered pairs

d)

A graph in the Cartesian plane

14.

Which of the following is an example of a rational function?

a)

f(x) = 1/(x-1)

b)

f(x) = x^2 + 3x

c)

f(x) = 2x + 5

d)

f(x) = 3x^2

15.

What is the significance of the vertical line test?

a)

To determine if a relation is a function

b)

To find the domain of a function

c)

To graph a function accurately

d)

To solve equations

16.

Which of the following statements is true about one-to-one functions?

a)

They are always linear

b)

They must pass both vertical and horizontal line tests

c)

They can have multiple outputs for one input

d)

They can fail the vertical line test

17.

The function C described by C(F) = 5/9(F − 32) gives the Celsius temperature corresponding to the Fahrenheit temperature F.

Find the Celsius temperature equivalent to 68°F

a)

20

b)

10

c)

-10

d)

-20

18.

The _____f + g is a function whose domains are the set of all real numbers common to the domain of f and g, and defined as follows:

(f + g)(x) = f(x) + g(x)

a)

quotient

b)

sum

c)

difference

d)

product

19.

What does the term 'domain' refer to in functions?

a)

The set of all possible outputs

b)

The range of values

c)

The set of all possible inputs

d)

The graph of the function

20.

What is the correct way to represent the relationship between the number of children and the budget per child?

a)

y = 100000 + x

b)

y = x/100000

c)

y = 100000*x

d)

y = 100000/x

21.

The __________ f – g is a function whose domains are the set of all real numbers common to the domain of f and g, and defined as follows:

(f – g)(x) = f(x) – g(x)

a)

difference

b)

sum

c)

product

d)

quotient

22.

The _______ fg is a function whose domains are the set of all real numbers common to the domain of f and g, and defined as follows:

(fg)(x) = f(x) · g(x)

a)

difference

b)

product

c)

sum

d)

quotient

23.

The __________f/g is a function whose domains are the set of all real numbers common to the domain of f and g, and defined as follows: ,f/g= f(x)/g(x)

where g(x) ≠ 0.

a)

product

b)

quotient

c)

sum

d)

difference

24.

Which of the following is an example of a piecewise function?

a)

f(x) = 3x + 2

b)

f(x) = 1/x

c)

f(x) = {x+1, x<0; x-1, x>=0}

d)

f(x) = x^2

25.

What is the correct interpretation of the function C(x) = 25x + 200?

a)

It represents total income

b)

It represents revenue from sales

c)

It represents daily expenses

d)

It represents profit from sales

26.

The ____________of the function f with g is denoted by          and is defined by the equation: fog(x) = f(g(x))

The domain of the composition function    f o g       is the set of all x such that x is in the domain of g; and fog

g(x) is in the domain of f.

a)

quotient

b)

product

c)

composition

d)

sum

27.

What is the main focus of the teaching tip regarding graphing rational functions?

a)

To analyze the domain and range

b)

To understand the transformations

c)

To memorize the graphs

d)

To practice solving equations

28.

Determine whether or not each statement is True or False.

If f(x) = x + 3 and g(x) = 4x, then (f · g)(2) = 40.

a)

True

b)

False

29.

Determine whether or not each statement is True or False.

If f(x) = x – 3 and g(x) = x + 4,

  then (f – g)(x) = –6

a)

true

b)

false

30.

A linear function f is a _________ function if       f(x) = mx + b, where m = 0 and b is any real number. Thus, f(x) = b.

a)

piece-wise

b)

constant

c)

identity

d)

absolute value

31.

What is the significance of the vertical line test?

a)

To find the domain of a function

b)

To determine if a relation is a function

c)

To graph a function accurately

d)

To solve equations

32.

Determine whether or not each statement is True or False.

If f(x) = 4x – 12 and g(x) = x – 3,

  then (f + g)(2) = 5

a)

true

b)

False

33.

The function f is an ____________ function if for all real numbers x,

    f(x) =    x, for x ≥ 0

         –x, for x ≤ 0

a)

piece-wise

b)

absolute value

c)

constant

d)

identity

34.

What does the term 'range' refer to in the context of functions?

a)

The set of all possible inputs

b)

The set of all possible outputs

c)

The graph of the function

d)

The domain of the function

35.

What is the significance of the horizontal line test?

a)

To graph a function accurately

b)

To assess the continuity of a function

c)

To find the domain of a function

d)

To determine if a function is one-to-one

36.

A _______ is a relation in which each element of the domain corresponds to exactly one element of the range.

a)

range

b)

function

c)

domain

d)

relation

37.

A function f is a ________ function if f(x) = mx + b, where m and b are real numbers, and m and f(x) are not both equal to zero.

a)

constant

b)

identity

c)

linear

d)

quadratic

38.

A ___________ function is any equation of the form     f(x) = ax2+ bx + c where a, b, and c are real numbers and a ≠ 0.

a)

piece-wise

b)

identity

c)

linear

d)

quadratic

39.

A linear function f is a _________function if       f(x) = mx + b, where m = 0 and b is any real number. Thus, f(x) = b.

a)

linear

b)

constant

c)

piece-wise

d)

identity

40.

A _____________ function or a compound function is a function defined by multiple sub-functions, where each sub-function applies to a certain interval of the main function's domain.

a)

piece-wise

b)

absolute value

c)

identity

d)

constant